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2221129764 = 2232717518471
BaseRepresentation
bin1000010001100011…
…1100000000100100
312201210110002020100
42010120330000210
514022102123024
61004222304100
7106020201660
oct20430740044
95653402210
102221129764
11a3a851737
1251ba28030
1329521c089
14170dbb8a0
15ceee27c9
hex8463c024

2221129764 has 72 divisors (see below), whose sum is σ = 6794057088. Its totient is φ = 597277440.

The previous prime is 2221129751. The next prime is 2221129817. The reversal of 2221129764 is 4679211222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254952 + ... + 263519.

It is an arithmetic number, because the mean of its divisors is an integer number (94361904).

Almost surely, 22221129764 is an apocalyptic number.

It is an amenable number.

2221129764 is an abundant number, since it is smaller than the sum of its proper divisors (4572927324).

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

2221129764 is a wasteful number, since it uses less digits than its factorization.

2221129764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518505 (or 518500 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2221129764 is about 47128.8633854032. The cubic root of 2221129764 is about 1304.7420038709.

The spelling of 2221129764 in words is "two billion, two hundred twenty-one million, one hundred twenty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 518471 1036942 1555413 2073884 3110826 3629297 4666239 6221652 7258594 8814007 9332478 10887891 14517188 17628014 18664956 21775782 26442021 32663673 35256028 43551564 52884042 61698049 65327346 79326063 105768084 123396098 130654692 158652126 185094147 246792196 317304252 370188294 555282441 740376588 1110564882 2221129764