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22492356608 = 21316572
BaseRepresentation
bin10100111100101001…
…100010000000000000
32011001112100002202202
4110330221202000000
5332031020402413
614155521132332
71424244606461
oct247451420000
964045302682
1022492356608
1195a2392477
12443878a0a8
132175b5c067
141135306d68
158b9986e58
hex53ca62000

22492356608 has 42 divisors (see below), whose sum is σ = 45009130581. Its totient is φ = 11239391232.

The previous prime is 22492356599. The next prime is 22492356619. The reversal of 22492356608 is 80665329422.

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 21724401664 + 767954944 = 147392^2 + 27712^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106048.

It is a super-2 number, since 2×224923566082 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13573316 + ... + 13574972.

Almost surely, 222492356608 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 22492356608

22492356608 is an abundant number, since it is smaller than the sum of its proper divisors (22516773973).

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

22492356608 is an frugal number, since it uses more digits than its factorization.

22492356608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 22492356608 in words is "twenty-two billion, four hundred ninety-two million, three hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1657 2048 3314 4096 6628 8192 13256 26512 53024 106048 212096 424192 848384 1696768 2745649 3393536 5491298 6787072 10982596 13574144 21965192 43930384 87860768 175721536 351443072 702886144 1405772288 2811544576 5623089152 11246178304 22492356608