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23830537224 = 23313216633533
BaseRepresentation
bin10110001100011010…
…010010010000001000
32021111210100201110210
4112030122102100020
5342301104142344
614540403041120
71502354136624
oct261432222010
967453321423
1023830537224
11a11979836a
1247509701a0
13232a174700
141220d26184
159471b9db9
hex58c692408

23830537224 has 96 divisors (see below), whose sum is σ = 64568724480. Its totient is φ = 7325989632.

The previous prime is 23830537223. The next prime is 23830537261. The reversal of 23830537224 is 42273503832.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (23830537223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6743362 + ... + 6746894.

It is an arithmetic number, because the mean of its divisors is an integer number (672590880).

Almost surely, 223830537224 is an apocalyptic number.

23830537224 is a gapful number since it is divisible by the number (24) 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 23830537224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284362240).

23830537224 is an abundant number, since it is smaller than the sum of its proper divisors (40738187256).

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

23830537224 is a wasteful number, since it uses less digits than its factorization.

23830537224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 23830537224 in words is "twenty-three billion, eight hundred thirty million, five hundred thirty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 1663 2028 3326 3533 4056 4989 6652 7066 9978 10599 13304 14132 19956 21198 21619 28264 39912 42396 43238 45929 64857 84792 86476 91858 129714 137787 172952 183716 259428 275574 281047 367432 518856 551148 562094 597077 843141 1102296 1124188 1194154 1686282 1791231 2248376 2388308 3372564 3582462 4776616 5875379 6745128 7164924 11750758 14329848 17626137 23501516 35252274 47003032 70504548 76379927 141009096 152759854 229139781 305519708 458279562 611039416 916559124 992939051 1833118248 1985878102 2978817153 3971756204 5957634306 7943512408 11915268612 23830537224