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230122330400 = 255219113133979
BaseRepresentation
bin1101011001010001011…
…1000001100100100000
3210222222121202121122002
43112110113001210200
512232242304033100
6253414452103132
722424434351154
oct3262427014440
9728877677562
10230122330400
118965a068936
1238723604aa8
1318914b45b11
14b1d0891064
155ebcbb42d5
hex35945c1920

230122330400 has 144 divisors (see below), whose sum is σ = 596591503200. Its totient is φ = 86431887360.

The previous prime is 230122330363. The next prime is 230122330523. The reversal of 230122330400 is 4033221032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650611 + ... + 1784589.

It is an arithmetic number, because the mean of its divisors is an integer number (4142996550).

Almost surely, 2230122330400 is an apocalyptic number.

230122330400 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 230122330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298295751600).

230122330400 is an abundant number, since it is smaller than the sum of its proper divisors (366469172800).

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

230122330400 is a wasteful number, since it uses less digits than its factorization.

230122330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134131 (or 134118 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230122330400 its reverse (4033221032), we get a palindrome (234155551432).

The spelling of 230122330400 in words is "two hundred thirty billion, one hundred twenty-two million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 113 152 160 190 200 226 304 380 400 452 475 565 608 760 800 904 950 1130 1520 1808 1900 2147 2260 2825 3040 3616 3800 4294 4520 5650 7600 8588 9040 10735 11300 15200 17176 18080 21470 22600 34352 42940 45200 53675 68704 85880 90400 107350 133979 171760 214700 267958 343520 429400 535916 669895 858800 1071832 1339790 1717600 2143664 2545601 2679580 3349475 4287328 5091202 5359160 6698950 10182404 10718320 12728005 13397900 15139627 20364808 21436640 25456010 26795800 30279254 40729616 50912020 53591600 60558508 63640025 75698135 81459232 101824040 107183200 121117016 127280050 151396270 203648080 242234032 254560100 287652913 302792540 378490675 407296160 484468064 509120200 575305826 605585080 756981350 1018240400 1150611652 1211170160 1438264565 1513962700 2036480800 2301223304 2422340320 2876529130 3027925400 4602446608 5753058260 6055850800 7191322825 9204893216 11506116520 12111701600 14382645650 23012233040 28765291300 46024466080 57530582600 115061165200 230122330400