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22107072 = 2631317521
BaseRepresentation
bin101010001010…
…1001111000000
31112121011012110
41110111033000
521124411242
62105455320
7355623051
oct124251700
945534173
1022107072
111152a409
1274a1540
134770510
142d16728
151e1a39c
hex15153c0

22107072 has 112 divisors (see below), whose sum is σ = 66824352. Its totient is φ = 6389760.

The previous prime is 22107047. The next prime is 22107097. The reversal of 22107072 is 27070122.

It is an interprime number because it is at equal distance from previous prime (22107047) and next prime (22107097).

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, 42172 + ... + 42692.

It is an arithmetic number, because the mean of its divisors is an integer number (596646).

Almost surely, 222107072 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 22107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412176).

22107072 is an abundant number, since it is smaller than the sum of its proper divisors (44717280).

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

22107072 is a wasteful number, since it uses less digits than its factorization.

22107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 22107072 is about 4701.8158194468. The cubic root of 22107072 is about 280.6577732833.

Adding to 22107072 its reverse (27070122), we get a palindrome (49177194).

The spelling of 22107072 in words is "twenty-two million, one hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 521 544 624 663 816 832 884 1042 1088 1248 1326 1563 1632 1768 2084 2496 2652 3126 3264 3536 4168 5304 6252 6773 7072 8336 8857 10608 12504 13546 14144 16672 17714 20319 21216 25008 26571 27092 33344 35428 40638 42432 50016 53142 54184 70856 81276 100032 106284 108368 115141 141712 162552 212568 216736 230282 283424 325104 345423 425136 433472 460564 566848 650208 690846 850272 921128 1300416 1381692 1700544 1842256 2763384 3684512 5526768 7369024 11053536 22107072