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220979664 = 2434170509
BaseRepresentation
bin11010010101111…
…10000111010000
3120101210221010000
431022332013100
5423032322124
633532210000
75322203403
oct1512760720
9511727100
10220979664
11103812324
1262009900
1336a215c9
14214c3d3a
15146006c9
hexd2be1d0

220979664 has 50 divisors (see below), whose sum is σ = 639583010. Its totient is φ = 73659456.

The previous prime is 220979657. The next prime is 220979711. The reversal of 220979664 is 466979022.

220979664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 210482064 + 10497600 = 14508^2 + 3240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 83959 + ... + 86550.

Almost surely, 2220979664 is an apocalyptic number.

220979664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220979664 is an abundant number, since it is smaller than the sum of its proper divisors (418603346).

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

220979664 is a wasteful number, since it uses less digits than its factorization.

220979664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170529 (or 170514 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 220979664 is about 14865.3847578864. The cubic root of 220979664 is about 604.5758144911.

The spelling of 220979664 in words is "two hundred twenty million, nine hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 170509 341018 511527 682036 1023054 1364072 1534581 2046108 2728144 3069162 4092216 4603743 6138324 8184432 9207486 12276648 13811229 18414972 24553296 27622458 36829944 55244916 73659888 110489832 220979664