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22628016 = 24323137137
BaseRepresentation
bin101011001010…
…0011010110000
31120120121210200
41112110122300
521243044031
62124555200
7363222615
oct126243260
946517720
1022628016
1111855844
1276b2b00
1348c3678
14301050c
151ebe8e6
hex15946b0

22628016 has 120 divisors (see below), whose sum is σ = 67626624. Its totient is φ = 7050240.

The previous prime is 22627991. The next prime is 22628017. The reversal of 22628016 is 61082622.

22628016 is a `hidden beast` number, since 22 + 628 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (22628017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165100 + ... + 165236.

Almost surely, 222628016 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 22628016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33813312).

22628016 is an abundant number, since it is smaller than the sum of its proper divisors (44998608).

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

22628016 is a wasteful number, since it uses less digits than its factorization.

22628016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22628016 is about 4756.8914219267. The cubic root of 22628016 is about 282.8452082944.

The spelling of 22628016 in words is "twenty-two million, six hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 137 144 148 186 222 248 274 279 296 333 372 411 444 496 548 558 592 666 744 822 888 1096 1116 1147 1233 1332 1488 1644 1776 2192 2232 2294 2466 2664 3288 3441 4247 4464 4588 4932 5069 5328 6576 6882 8494 9176 9864 10138 10323 12741 13764 15207 16988 18352 19728 20276 20646 25482 27528 30414 33976 38223 40552 41292 45621 50964 55056 60828 67952 76446 81104 82584 91242 101928 121656 152892 157139 165168 182484 203856 243312 305784 314278 364968 471417 611568 628556 729936 942834 1257112 1414251 1885668 2514224 2828502 3771336 5657004 7542672 11314008 22628016