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10230056352 = 253410936209
BaseRepresentation
bin10011000011100001…
…00100010110100000
3222101221122201010000
421201300210112200
5131422343300402
64411041340000
7511340021115
oct114160442640
928357581100
1010230056352
11437a66682a
121b96037600
13c705692a9
146d092a90c
153ed1a2c1c
hex261c245a0

10230056352 has 120 divisors (see below), whose sum is σ = 30363171300. Its totient is φ = 3378640896.

The previous prime is 10230056351. The next prime is 10230056359. The reversal of 10230056352 is 25365003201.

10230056352 is a `hidden beast` number, since 1 + 0 + 2 + 300 + 5 + 6 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10167898896 + 62157456 = 100836^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10230056351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264424 + ... + 300632.

Almost surely, 210230056352 is an apocalyptic number.

10230056352 is a gapful number since it is divisible by the number (12) 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 10230056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181585650).

10230056352 is an abundant number, since it is smaller than the sum of its proper divisors (20133114948).

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

10230056352 is a wasteful number, since it uses less digits than its factorization.

10230056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36340 (or 36323 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10230056352 its reverse (25365003201), we get a palindrome (35595059553).

The spelling of 10230056352 in words is "ten billion, two hundred thirty million, fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1296 1308 1744 1962 2592 2616 2943 3488 3924 5232 5886 7848 8829 10464 11772 15696 17658 23544 31392 35316 36209 47088 70632 72418 94176 108627 141264 144836 217254 282528 289672 325881 434508 579344 651762 869016 977643 1158688 1303524 1738032 1955286 2607048 2932929 3476064 3910572 3946781 5214096 5865858 7821144 7893562 10428192 11731716 11840343 15642288 15787124 23463432 23680686 31284576 31574248 35521029 46926864 47361372 63148496 71042058 93853728 94722744 106563087 126296992 142084116 189445488 213126174 284168232 319689261 378890976 426252348 568336464 639378522 852504696 1136672928 1278757044 1705009392 2557514088 3410018784 5115028176 10230056352