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22286264 = 2371131323
BaseRepresentation
bin101010100000…
…0111110111000
31112221021000012
41111000332320
521201130024
62113401052
7360300350
oct125007670
945837005
1022286264
1111642000
127569188
134803c50
142d61b60
151e5350e
hex1540fb8

22286264 has 128 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 7666560.

The previous prime is 22286233. The next prime is 22286279. The reversal of 22286264 is 46268222.

It is a self number, because there is not a number n which added to its sum of digits gives 22286264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968957 + ... + 968979.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 222286264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22286264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29514240).

22286264 is an abundant number, since it is smaller than the sum of its proper divisors (36742216).

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

22286264 is a wasteful number, since it uses less digits than its factorization.

22286264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 22286264 is about 4720.8329773463. The cubic root of 22286264 is about 281.4140373775.

The spelling of 22286264 in words is "twenty-two million, two hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 121 143 154 161 182 184 242 253 286 299 308 322 364 484 506 572 598 616 644 728 847 968 1001 1012 1144 1196 1288 1331 1573 1694 1771 2002 2024 2093 2392 2662 2783 3146 3289 3388 3542 4004 4186 5324 5566 6292 6578 6776 7084 8008 8372 9317 10648 11011 11132 12584 13156 14168 16744 17303 18634 19481 22022 22264 23023 26312 30613 34606 36179 37268 38962 44044 46046 61226 69212 72358 74536 77924 88088 92092 121121 122452 138424 144716 155848 184184 214291 242242 244904 253253 289432 397969 428582 484484 506506 795938 857164 968968 1013012 1591876 1714328 2026024 2785783 3183752 5571566 11143132 22286264