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22002048 = 273271269
BaseRepresentation
bin101001111101…
…1100110000000
31112101211010200
41103323212000
521113031143
62103325200
7355004625
oct123734600
945354120
1022002048
1111468512
127450800
134734783
142cca34c
151de91d3
hex14fb980

22002048 has 96 divisors (see below), whose sum is σ = 64443600. Its totient is φ = 7203840.

The previous prime is 22002031. The next prime is 22002061. The reversal of 22002048 is 84020022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 22002048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81658 + ... + 81926.

Almost surely, 222002048 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 22002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221800).

22002048 is an abundant number, since it is smaller than the sum of its proper divisors (42441552).

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

22002048 is a wasteful number, since it uses less digits than its factorization.

22002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22002048 is about 4690.6340722764. The cubic root of 22002048 is about 280.2126276087.

The spelling of 22002048 in words is "twenty-two million, two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 269 284 288 384 426 538 568 576 639 807 852 1076 1136 1152 1278 1614 1704 2152 2272 2421 2556 3228 3408 4304 4544 4842 5112 6456 6816 8608 9088 9684 10224 12912 13632 17216 19099 19368 20448 25824 27264 34432 38198 38736 40896 51648 57297 76396 77472 81792 103296 114594 152792 154944 171891 229188 305584 309888 343782 458376 611168 687564 916752 1222336 1375128 1833504 2444672 2750256 3667008 5500512 7334016 11001024 22002048