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22242400240 = 2452312088261
BaseRepresentation
bin10100101101110000…
…000001011111110000
32010102010000000002111
4110231300001133300
5331023023301430
614115031455104
71415121165634
oct245560013760
963363000074
1022242400240
119484289565
124388b27494
132136133498
14111003cdc4
158a2a60c2a
hex52dc017f0

22242400240 has 40 divisors (see below), whose sum is σ = 53962001568. Its totient is φ = 8510135040.

The previous prime is 22242400231. The next prime is 22242400291. The reversal of 22242400240 is 4200424222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6042291 + ... + 6045970.

Almost surely, 222242400240 is an apocalyptic number.

22242400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22242400240 is an abundant number, since it is smaller than the sum of its proper divisors (31719601328).

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

22242400240 is a wasteful number, since it uses less digits than its factorization.

22242400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088297 (or 12088291 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22242400240 its reverse (4200424222), we get a palindrome (26442824462).

The spelling of 22242400240 in words is "twenty-two billion, two hundred forty-two million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 12088261 24176522 48353044 60441305 96706088 120882610 193412176 241765220 278030003 483530440 556060006 967060880 1112120012 1390150015 2224240024 2780300030 4448480048 5560600060 11121200120 22242400240