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22242626064 = 2432154462681
BaseRepresentation
bin10100101101110000…
…111000101000010000
32010102010102110212100
4110231300320220100
5331023103013224
614115040400400
71415123126211
oct245560705020
963363373770
1022242626064
11948442319a
124389016100
1321361b21c9
14111009b408
158a2aa7ac9
hex52dc38a10

22242626064 has 30 divisors (see below), whose sum is σ = 62248460846. Its totient is φ = 7414208640.

The previous prime is 22242626057. The next prime is 22242626069. The reversal of 22242626064 is 46062624222.

22242626064 is a `hidden beast` number, since 2 + 2 + 2 + 42 + 6 + 2 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20753283600 + 1489342464 = 144060^2 + 38592^2 .

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 (22242626069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77231197 + ... + 77231484.

Almost surely, 222242626064 is an apocalyptic number.

22242626064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22242626064 is an abundant number, since it is smaller than the sum of its proper divisors (40005834782).

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

22242626064 is a wasteful number, since it uses less digits than its factorization.

22242626064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154462695 (or 154462686 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 22242626064 in words is "twenty-two billion, two hundred forty-two million, six hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 154462681 308925362 463388043 617850724 926776086 1235701448 1390164129 1853552172 2471402896 2780328258 3707104344 5560656516 7414208688 11121313032 22242626064