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10230214400 = 28527228353
BaseRepresentation
bin10011000011100010…
…01010111100000000
3222101221221201220122
421201301022330000
5131422413330100
64411044555412
7511341246650
oct114161127400
928357851818
1010230214400
11437a76454a
121b960b2b68
13c705c3203
146d096c360
153ed1d4985
hex261c4af00

10230214400 has 108 divisors (see below), whose sum is σ = 28938845712. Its totient is φ = 3507486720.

The previous prime is 10230214399. The next prime is 10230214429. The reversal of 10230214400 is 441203201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69377 + ... + 158976.

Almost surely, 210230214400 is an apocalyptic number.

10230214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230214400 is an abundant number, since it is smaller than the sum of its proper divisors (18708631312).

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

10230214400 is an equidigital number, since it uses as much as digits as its factorization.

10230214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228386 (or 228367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10230214400 its reverse (441203201), we get a palindrome (10671417601).

The spelling of 10230214400 in words is "ten billion, two hundred thirty million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 228353 456706 913412 1141765 1598471 1826824 2283530 3196942 3653648 4567060 5708825 6393884 7307296 7992355 9134120 11417650 12787768 14614592 15984710 18268240 22835300 25575536 29229184 31969420 36536480 39961775 45670600 51151072 58458368 63938840 73072960 79923550 91341200 102302144 127877680 146145920 159847100 182682400 204604288 255755360 292291840 319694200 365364800 409208576 511510720 639388400 730729600 1023021440 1278776800 1461459200 2046042880 2557553600 5115107200 10230214400