Search a number
-
+
10223135424 = 263261290959
BaseRepresentation
bin10011000010101100…
…01010101011000000
3222101110122002101100
421201112022223000
5131414110313144
64410233134400
7511224134355
oct114126125300
928343562340
1010223135424
114376769a57
121b9385a400
13c6bcb5078
146cda4862c
153ec787269
hex26158aac0

10223135424 has 84 divisors (see below), whose sum is σ = 29783247520. Its totient is φ = 3351836160.

The previous prime is 10223135399. The next prime is 10223135431. The reversal of 10223135424 is 42453132201.

10223135424 is a `hidden beast` number, since 1 + 0 + 2 + 231 + 3 + 5 + 424 = 666.

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, 110344 + ... + 180615.

Almost surely, 210223135424 is an apocalyptic number.

It is an amenable number.

10223135424 is an abundant number, since it is smaller than the sum of its proper divisors (19560112096).

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

10223135424 is a wasteful number, since it uses less digits than its factorization.

10223135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291038 (or 291025 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10223135424 its reverse (42453132201), we get a palindrome (52676267625).

The spelling of 10223135424 in words is "ten billion, two hundred twenty-three million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 290959 581918 872877 1163836 1745754 2327672 2618631 3491508 4655344 5237262 6983016 9310688 10474524 13966032 17748499 18621376 20949048 27932064 35496998 41898096 53245497 55864128 70993996 83796192 106490994 141987992 159736491 167592384 212981988 283975984 319472982 425963976 567951968 638945964 851927952 1135903936 1277891928 1703855904 2555783856 3407711808 5111567712 10223135424