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22626630 = 23251383233
BaseRepresentation
bin101011001010…
…0000101000110
31120120112220100
41112110011012
521243023010
62124544530
7363215565
oct126240506
946515810
1022626630
11118547a4
1276b2146
1348c2b50
14300dbdc
151ebe2c0
hex1594146

22626630 has 96 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 5478912.

The previous prime is 22626623. The next prime is 22626631. The reversal of 22626630 is 3662622.

It is a happy number.

22626630 is a `hidden beast` number, since 2 + 2 + 6 + 26 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22626594 and 22626603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22626631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96994 + ... + 97226.

It is an arithmetic number, because the mean of its divisors is an integer number (670761).

Almost surely, 222626630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22626630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

22626630 is an abundant number, since it is smaller than the sum of its proper divisors (41766426).

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

22626630 is a wasteful number, since it uses less digits than its factorization.

22626630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22626630 is about 4756.7457363202. The cubic root of 22626630 is about 282.8394332784.

The spelling of 22626630 in words is "twenty-two million, six hundred twenty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 233 234 249 390 415 466 498 585 699 747 830 1079 1165 1170 1245 1398 1494 2097 2158 2330 2490 3029 3237 3495 3735 4194 5395 6058 6474 6990 7470 9087 9711 10485 10790 15145 16185 18174 19339 19422 20970 27261 30290 32370 38678 45435 48555 54522 58017 90870 96695 97110 116034 136305 174051 193390 251407 272610 290085 348102 502814 580170 754221 870255 1257035 1508442 1740510 2262663 2514070 3771105 4525326 7542210 11313315 22626630