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22262540004 = 22321374513897
BaseRepresentation
bin10100101110111100…
…110110011011100100
32010110111220012122200
4110232330312123210
5331043202240004
614121031254500
71415454316305
oct245674663344
963414805580
1022262540004
1194946948a1
12439381a430
13213a3653c3
1411129a27ac
158a46dd239
hex52ef366e4

22262540004 has 36 divisors (see below), whose sum is σ = 56685531084. Its totient is φ = 7366678272.

The previous prime is 22262539987. The next prime is 22262540071. The reversal of 22262540004 is 40004526222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5983331904 + 16279208100 = 77352^2 + 127590^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22262540004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252017 + ... + 2261880.

Almost surely, 222262540004 is an apocalyptic number.

It is an amenable number.

22262540004 is an abundant number, since it is smaller than the sum of its proper divisors (34422991080).

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

22262540004 is a wasteful number, since it uses less digits than its factorization.

22262540004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514044 (or 4514039 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 22262540004 in words is "twenty-two billion, two hundred sixty-two million, five hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 4513897 9027794 13541691 18055588 27083382 40625073 54166764 81250146 162500292 618403889 1236807778 1855211667 2473615556 3710423334 5565635001 7420846668 11131270002 22262540004