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230000046145400 = 23521924616910187
BaseRepresentation
bin110100010010111100001111…
…000011000111111101111000
31010011100210022200011020122102
4310102330033003013331320
5220121310043303123100
62133100321301442532
766305645361155516
oct6422741703077570
91104323280136572
10230000046145400
1167315520a620a3
1221967672110448
139b44bb0136bab
1440b20c11834b6
151b8cc67e30cd5
hexd12f0f0c7f78

230000046145400 has 144 divisors (see below), whose sum is σ = 565600477143240. Its totient is φ = 86968836921600.

The previous prime is 230000046145367. The next prime is 230000046145409. The reversal of 230000046145400 is 4541640000032.

It is a super-2 number, since 2×2300000461454002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230000046145409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29829107 + ... + 36739293.

Almost surely, 2230000046145400 is an apocalyptic number.

230000046145400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230000046145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282800238571620).

230000046145400 is an abundant number, since it is smaller than the sum of its proper divisors (335600430997840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230000046145400 is a wasteful number, since it uses less digits than its factorization.

230000046145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910702 (or 6910674 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 230000046145400 its reverse (4541640000032), we get a palindrome (234541686145432).

The spelling of 230000046145400 in words is "two hundred thirty trillion, forty-six million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 461 475 722 760 922 950 1444 1805 1844 1900 2305 2888 3610 3688 3800 4610 7220 8759 9025 9220 11525 14440 17518 18050 18440 23050 35036 36100 43795 46100 70072 72200 87590 92200 166421 175180 218975 332842 350360 437950 665684 832105 875900 1331368 1664210 1751800 3328420 4160525 6656840 6910187 8321050 13820374 16642100 27640748 33284200 34550935 55281496 69101870 131293553 138203740 172754675 262587106 276407480 345509350 525174212 656467765 691018700 1050348424 1312935530 1382037400 2494577507 2625871060 3185596207 3282338825 4989155014 5251742120 6371192414 6564677650 9978310028 12472887535 12742384828 13129355300 15927981035 19956620056 24945775070 25484769656 26258710600 31855962070 49891550140 60526327933 62364437675 63711924140 79639905175 99783100280 121052655866 124728875350 127423848280 159279810350 242105311732 249457750700 302631639665 318559620700 484210623464 498915501400 605263279330 637119241400 1150000230727 1210526558660 1513158198325 2300000461454 2421053117320 3026316396650 4600000922908 5750001153635 6052632793300 9200001845816 11500002307270 12105265586600 23000004614540 28750005768175 46000009229080 57500011536350 115000023072700 230000046145400