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23001333144 = 2332334998243
BaseRepresentation
bin10101011010111111…
…000111110110011000
32012101000001210022120
4111122333013312120
5334101320130034
614322222221240
71442665051206
oct253277076630
965330053276
1023001333144
119833720039
12455b124820
132227437bca
141182b58076
158e94c4c49
hex55afc7d98

23001333144 has 64 divisors (see below), whose sum is σ = 57872880000. Its totient is φ = 7617981696.

The previous prime is 23001333109. The next prime is 23001333181. The reversal of 23001333144 is 44133310032.

It is a super-2 number, since 2×230013331442 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2786287 + ... + 2794529.

It is an arithmetic number, because the mean of its divisors is an integer number (904263750).

Almost surely, 223001333144 is an apocalyptic number.

23001333144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23001333144 is an abundant number, since it is smaller than the sum of its proper divisors (34871546856).

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

23001333144 is a wasteful number, since it uses less digits than its factorization.

23001333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23001333144 its reverse (44133310032), we get a palindrome (67134643176).

The spelling of 23001333144 in words is "twenty-three billion, one million, three hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 233 466 499 699 932 998 1398 1497 1864 1996 2796 2994 3992 5592 5988 8243 11976 16486 24729 32972 49458 65944 98916 116267 197832 232534 348801 465068 697602 930136 1395204 1920619 2790408 3841238 4113257 5761857 7682476 8226514 11523714 12339771 15364952 16453028 23047428 24679542 32906056 46094856 49359084 98718168 958388881 1916777762 2875166643 3833555524 5750333286 7667111048 11500666572 23001333144