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23224004304 = 24319375211321
BaseRepresentation
bin10101101000010000…
…100010111011010000
32012221112001122201120
4111220100202323100
5340030321114204
614400255002240
71451340531234
oct255020427320
965845048646
1023224004304
119938388196
124601809380
1322615cc3a7
1411a455c5c4
1590dd0b6d9
hex568422ed0

23224004304 has 160 divisors (see below), whose sum is σ = 65033516160. Its totient is φ = 7116595200.

The previous prime is 23224004273. The next prime is 23224004329. The reversal of 23224004304 is 40340042232.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17579964 + ... + 17581284.

It is an arithmetic number, because the mean of its divisors is an integer number (406459476).

Almost surely, 223224004304 is an apocalyptic number.

23224004304 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 23224004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516758080).

23224004304 is an abundant number, since it is smaller than the sum of its proper divisors (41809511856).

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

23224004304 is a wasteful number, since it uses less digits than its factorization.

23224004304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

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

Adding to 23224004304 its reverse (40340042232), we get a palindrome (63564046536).

The spelling of 23224004304 in words is "twenty-three billion, two hundred twenty-four million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 521 592 703 888 912 1042 1321 1406 1563 1776 2084 2109 2642 2812 3126 3963 4168 4218 5284 5624 6252 7926 8336 8436 9899 10568 11248 12504 15852 16872 19277 19798 21136 25008 25099 29697 31704 33744 38554 39596 48877 50198 57831 59394 63408 75297 77108 79192 97754 100396 115662 118788 146631 150594 154216 158384 195508 200792 231324 237576 293262 301188 308432 366263 391016 401584 462648 475152 586524 602376 688241 732526 782032 925296 928663 1098789 1173048 1204752 1376482 1465052 1857326 2064723 2197578 2346096 2752964 2785989 2930104 3714652 4129446 4395156 5505928 5571978 5860208 7429304 8258892 8790312 11011856 11143956 13076579 14858608 16517784 17580624 22287912 25464917 26153158 33035568 39229737 44575824 50929834 52306316 76394751 78459474 101859668 104612632 152789502 156918948 203719336 209225264 305579004 313837896 407438672 483833423 611158008 627675792 967666846 1222316016 1451500269 1935333692 2903000538 3870667384 5806001076 7741334768 11612002152 23224004304