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23023042224 = 2437135270843
BaseRepresentation
bin10101011100010001…
…111011111010110000
32012102111220201120120
4111130101323322300
5334122344322344
614324315410240
71443350426040
oct253421737260
965374821516
1023023042224
1198449a8426
124566453980
13222ba99210
1411859a9720
158eb362219
hex55c47beb0

23023042224 has 80 divisors (see below), whose sum is σ = 73201481472. Its totient is φ = 6072009984.

The previous prime is 23023042201. The next prime is 23023042243. The reversal of 23023042224 is 42224032032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23023042194 and 23023042203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631054 + ... + 2639789.

Almost surely, 223023042224 is an apocalyptic number.

23023042224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23023042224 is an abundant number, since it is smaller than the sum of its proper divisors (50178439248).

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

23023042224 is a wasteful number, since it uses less digits than its factorization.

23023042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270874 (or 5270868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23023042224 its reverse (42224032032), we get a palindrome (65247074256).

The spelling of 23023042224 in words is "twenty-three billion, twenty-three million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 5270843 10541686 15812529 21083372 31625058 36895901 42166744 63250116 68520959 73791802 84333488 110687703 126500232 137041918 147583604 205562877 221375406 253000464 274083836 295167208 411125754 442750812 479646713 548167672 590334416 822251508 885501624 959293426 1096335344 1438940139 1644503016 1771003248 1918586852 2877880278 3289006032 3837173704 5755760556 7674347408 11511521112 23023042224