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22946817992 = 237410932
BaseRepresentation
bin10101010111101111…
…001010011111001000
32012020012111010120212
4111113233022133020
5333443341133432
614312553540252
71441433510000
oct252757123710
965205433525
1022946817992
119805975a9a
124544a14688
13221905b617
141179807000
158e48072b2
hex557bca7c8

22946817992 has 60 divisors (see below), whose sum is σ = 50239142145. Its totient is φ = 9825352992.

The previous prime is 22946817983. The next prime is 22946818031. The reversal of 22946817992 is 29971864922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 14224378756 + 8722439236 = 119266^2 + 93394^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107114.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20993798 + ... + 20994890.

Almost surely, 222946817992 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 22946817992

22946817992 is an abundant number, since it is smaller than the sum of its proper divisors (27292324153).

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

22946817992 is an frugal number, since it uses more digits than its factorization.

22946817992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 1102 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 59.

It can be divided in two parts, 2294 and 6817992, that added together give a palindrome (6820286).

The spelling of 22946817992 in words is "twenty-two billion, nine hundred forty-six million, eight hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1093 1372 2186 2401 2744 4372 4802 7651 8744 9604 15302 19208 30604 53557 61208 107114 214228 374899 428456 749798 1194649 1499596 2389298 2624293 2999192 4778596 5248586 8362543 9557192 10497172 16725086 20994344 33450172 58537801 66900344 117075602 234151204 409764607 468302408 819529214 1639058428 2868352249 3278116856 5736704498 11473408996 22946817992