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22022288712 = 2332174892
BaseRepresentation
bin10100100000101000…
…010111010101001000
32002211202211011211200
4110200220113111020
5330100201214322
614041130024200
71406506236234
oct244050272510
962752734750
1022022288712
11938100a506
124327278060
1320cc657088
1410ccb035c4
1588d5828ac
hex520a17548

22022288712 has 36 divisors (see below), whose sum is σ = 59647109145. Its totient is φ = 7340343168.

The previous prime is 22022288689. The next prime is 22022288719. The reversal of 22022288712 is 21788222022.

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 11717196516 + 10305092196 = 108246^2 + 101514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104934.

It is a super-2 number, since 2×220222887122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22022288719) 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 8 ways as a sum of consecutive naturals, for example, 1250464 + ... + 1267952.

Almost surely, 222022288712 is an apocalyptic number.

It is an amenable number.

22022288712 is an abundant number, since it is smaller than the sum of its proper divisors (37624820433).

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

22022288712 is an frugal number, since it uses more digits than its factorization.

22022288712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34990 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22022288712 in words is "twenty-two billion, twenty-two million, two hundred eighty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17489 34978 52467 69956 104934 139912 157401 209868 314802 419736 629604 1259208 305865121 611730242 917595363 1223460484 1835190726 2446920968 2752786089 3670381452 5505572178 7340762904 11011144356 22022288712