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21224335504 = 2431127347971
BaseRepresentation
bin10011110001000100…
…011010100010010000
32000210011022221211011
4103301010122202100
5321431412214004
613430023100304
71350646606111
oct236104324220
960704287734
1021224335504
119001647449
124143ba1694
13200323ca08
141054b4c208
158434b2004
hex4f111a890

21224335504 has 80 divisors (see below), whose sum is σ = 42950393856. Its totient is φ = 10149148800.

The previous prime is 21224335501. The next prime is 21224335519. The reversal of 21224335504 is 40553342212.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (21224335501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21857739 + ... + 21858709.

Almost surely, 221224335504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21224335504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475196928).

21224335504 is an abundant number, since it is smaller than the sum of its proper divisors (21726058352).

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

21224335504 is a wasteful number, since it uses less digits than its factorization.

21224335504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 21224335504 its reverse (40553342212), we get a palindrome (61777677716).

The spelling of 21224335504 in words is "twenty-one billion, two hundred twenty-four million, three hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 347 496 508 694 971 1016 1388 1942 2032 2776 3884 3937 5552 7768 7874 10757 15536 15748 21514 30101 31496 43028 44069 60202 62992 86056 88138 120404 123317 172112 176276 240808 246634 336937 352552 481616 493268 673874 705104 986536 1347748 1366139 1973072 2695496 2732278 3822827 5390992 5464556 7645654 10445047 10929112 15291308 20890094 21858224 30582616 41780188 42790999 61165232 83560376 85581998 167120752 171163996 342327992 684655984 1326520969 2653041938 5306083876 10612167752 21224335504