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22265363340 = 223251111245133
BaseRepresentation
bin10100101111000111…
…100111101110001100
32010110201012122112200
4110233013213232030
5331044413111330
614121212001500
71415520315513
oct245707475614
963421178480
1022265363340
119496243030
124394760290
13213ab1350c
1411130d967a
158a4a99a60
hex52f1e7b8c

22265363340 has 72 divisors (see below), whose sum is σ = 73678117968. Its totient is φ = 5397663360.

The previous prime is 22265363333. The next prime is 22265363359. The reversal of 22265363340 is 4336356222.

22265363340 is a `hidden beast` number, since 2 + 2 + 265 + 363 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22265363295 and 22265363304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5620587 + ... + 5624546.

It is an arithmetic number, because the mean of its divisors is an integer number (1023307194).

Almost surely, 222265363340 is an apocalyptic number.

22265363340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22265363340 is an abundant number, since it is smaller than the sum of its proper divisors (51412754628).

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

22265363340 is a wasteful number, since it uses less digits than its factorization.

22265363340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245159 (or 11245154 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 22265363340 in words is "twenty-two billion, two hundred sixty-five million, three hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11245133 22490266 33735399 44980532 56225665 67470798 101206197 112451330 123696463 134941596 168676995 202412394 224902660 247392926 337353990 371089389 404824788 494785852 506030985 618482315 674707980 742178778 1012061970 1113268167 1236964630 1484357556 1855446945 2024123940 2226536334 2473929260 3710893890 4453072668 5566340835 7421787780 11132681670 22265363340