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21622152112 = 24112791091297
BaseRepresentation
bin10100001000110001…
…111101101110110000
32001210212220010121121
4110020301331232300
5323240232331422
613533313432024
71363550155231
oct241061755660
961725803547
1021622152112
119196160a00
12423526b614
132067798562
141091905088
158683938c7
hex508c7dbb0

21622152112 has 120 divisors (see below), whose sum is σ = 47094555200. Its totient is φ = 9607403520.

The previous prime is 21622152109. The next prime is 21622152119. The reversal of 21622152112 is 21125122612.

It is not an unprimeable number, because it can be changed into a prime (21622152119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16670248 + ... + 16671544.

Almost surely, 221622152112 is an apocalyptic number.

21622152112 is a gapful number since it is divisible by the number (22) 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 21622152112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547277600).

21622152112 is an abundant number, since it is smaller than the sum of its proper divisors (25472403088).

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

21622152112 is a wasteful number, since it uses less digits than its factorization.

21622152112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1498 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

Adding to 21622152112 its reverse (21125122612), we get a palindrome (42747274724).

The spelling of 21622152112 in words is "twenty-one billion, six hundred twenty-two million, one hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 79 88 109 121 158 176 218 242 316 436 484 632 869 872 968 1199 1264 1297 1738 1744 1936 2398 2594 3476 4796 5188 6952 8611 9559 9592 10376 13189 13904 14267 17222 19118 19184 20752 26378 28534 34444 38236 52756 57068 68888 76472 94721 102463 105512 114136 137776 141373 152944 156937 189442 204926 211024 228272 282746 313874 378884 409852 565492 627748 757768 819704 1041931 1127093 1130984 1255496 1515536 1555103 1639408 2083862 2254186 2261968 2510992 3110206 4167724 4508372 6220412 8335448 9016744 11168467 12398023 12440824 16670896 17106133 18033488 22336934 24796046 24881648 34212266 44673868 49592092 68424532 89347736 99184184 122853137 136849064 178695472 198368368 245706274 273698128 491412548 982825096 1351384507 1965650192 2702769014 5405538028 10811076056 21622152112