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22665340 = 22531139263
BaseRepresentation
bin101011001110…
…1100001111100
31120122112000001
41112131201330
521300242330
62125444044
7363436465
oct126354174
946575001
1022665340
1111880895
127710624
134907659
14301dd6c
151eca9ca
hex159d87c

22665340 has 48 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 8677440.

The previous prime is 22665323. The next prime is 22665353. The reversal of 22665340 is 4356622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22665299 and 22665308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86049 + ... + 86311.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 222665340 is an apocalyptic number.

22665340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22665340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

22665340 is an abundant number, since it is smaller than the sum of its proper divisors (27008900).

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

22665340 is a wasteful number, since it uses less digits than its factorization.

22665340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 22665340 is about 4760.8129557881. The cubic root of 22665340 is about 283.0006367901. Note that the first 3 decimals are identical.

It can be divided in two parts, 22665 and 340, that added together give a triangular number (23005 = T214).

The spelling of 22665340 in words is "twenty-two million, six hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 139 155 263 278 310 526 556 620 695 1052 1315 1390 2630 2780 4309 5260 8153 8618 16306 17236 21545 32612 36557 40765 43090 73114 81530 86180 146228 163060 182785 365570 731140 1133267 2266534 4533068 5666335 11332670 22665340