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23210440224 = 25316710911327
BaseRepresentation
bin10101100111011100…
…110011011000100000
32012220120112112022020
4111213130303120200
5340013333041344
614355052141440
71451114325636
oct254734633040
965816475266
1023210440224
119930763304
1245b9167880
13225b8604ca
1411a282b356
1590ca2c719
hex567733620

23210440224 has 96 divisors (see below), whose sum is σ = 61394651136. Its totient is φ = 7677646080.

The previous prime is 23210440217. The next prime is 23210440237. The reversal of 23210440224 is 42204401232.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 23210440194 and 23210440203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17490249 + ... + 17491575.

It is an arithmetic number, because the mean of its divisors is an integer number (639527616).

Almost surely, 223210440224 is an apocalyptic number.

23210440224 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 23210440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30697325568).

23210440224 is an abundant number, since it is smaller than the sum of its proper divisors (38184210912).

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

23210440224 is a wasteful number, since it uses less digits than its factorization.

23210440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23210440224 its reverse (42204401232), we get a palindrome (65414841456).

The spelling of 23210440224 in words is "twenty-three billion, two hundred ten million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1091 1327 1336 2004 2182 2654 2672 3273 3981 4008 4364 5308 5344 6546 7962 8016 8728 10616 13092 15924 16032 17456 21232 26184 31848 34912 42464 52368 63696 104736 127392 182197 221609 364394 443218 546591 664827 728788 886436 1093182 1329654 1447757 1457576 1772872 2186364 2659308 2895514 2915152 3545744 4343271 4372728 5318616 5791028 5830304 7091488 8686542 8745456 10637232 11582056 17373084 17490912 21274464 23164112 34746168 46328224 69492336 138984672 241775419 483550838 725326257 967101676 1450652514 1934203352 2901305028 3868406704 5802610056 7736813408 11605220112 23210440224