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21925317184 = 268322232
BaseRepresentation
bin10100011010110110…
…011100101001000000
32002121000100111220121
4110122312130221000
5324400340122214
614023343350024
71404221056351
oct243266345100
962530314817
1021925317184
1193312a7351
1242ba8b2314
1320b5533b84
1410bdc9dd28
15884cca424
hex51ad9ca40

21925317184 has 63 divisors (see below), whose sum is σ = 44236928163. Its totient is φ = 10782010752.

The previous prime is 21925317181. The next prime is 21925317187. The reversal of 21925317184 is 48171352912.

The square root of 21925317184 is 148072.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (21925317181) and next prime (21925317187).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21925317184.

It is not an unprimeable number, because it can be changed into a prime (21925317181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98319697 + ... + 98319919.

Almost surely, 221925317184 is an apocalyptic number.

21925317184 is the 148072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21925317184

21925317184 is an abundant number, since it is smaller than the sum of its proper divisors (22311610979).

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

21925317184 is an frugal number, since it uses more digits than its factorization.

21925317184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 308 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The spelling of 21925317184 in words is "twenty-one billion, nine hundred twenty-five million, three hundred seventeen thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 83 166 223 332 446 664 892 1328 1784 2656 3568 5312 6889 7136 13778 14272 18509 27556 37018 49729 55112 74036 99458 110224 148072 198916 220448 296144 397832 440896 592288 795664 1184576 1536247 1591328 3072494 3182656 4127507 6144988 8255014 12289976 16510028 24579952 33020056 49159904 66040112 98319808 132080224 264160448 342583081 685166162 1370332324 2740664648 5481329296 10962658592 21925317184