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2135222928 = 243241503719
BaseRepresentation
bin111111101000100…
…1110101010010000
312111210210120012200
41333101032222100
513333104113203
6551513123200
7103625044506
oct17721165220
95453716180
102135222928
119a6306653
124b70b9500
132804a1227
14163818676
15c76c39a3
hex7f44ea90

2135222928 has 120 divisors (see below), whose sum is σ = 6142106880. Its totient is φ = 692037120.

The previous prime is 2135222911. The next prime is 2135222959. The reversal of 2135222928 is 8292225312.

2135222928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2135222892 and 2135222901.

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, 2969353 + ... + 2970071.

It is an arithmetic number, because the mean of its divisors is an integer number (51184224).

Almost surely, 22135222928 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 2135222928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2135222928 is an abundant number, since it is smaller than the sum of its proper divisors (4006883952).

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

2135222928 is a wasteful number, since it uses less digits than its factorization.

2135222928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1268 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2135222928 is about 46208.4724698837. The cubic root of 2135222928 is about 1287.6991472261.

The spelling of 2135222928 in words is "two billion, one hundred thirty-five million, two hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 503 656 719 738 984 1006 1438 1476 1509 1968 2012 2157 2876 2952 3018 4024 4314 4527 5752 5904 6036 6471 8048 8628 9054 11504 12072 12942 17256 18108 20623 24144 25884 29479 34512 36216 41246 51768 58958 61869 72432 82492 88437 103536 117916 123738 164984 176874 185607 235832 247476 265311 329968 353748 361657 371214 471664 494952 530622 707496 723314 742428 989904 1061244 1084971 1414992 1446628 1484856 2122488 2169942 2893256 2969712 3254913 4244976 4339884 5786512 6509826 8679768 13019652 14827937 17359536 26039304 29655874 44483811 52078608 59311748 88967622 118623496 133451433 177935244 237246992 266902866 355870488 533805732 711740976 1067611464 2135222928