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22135429248 = 273193033913
BaseRepresentation
bin10100100111010111…
…111101100010000000
32010010122201022110220
4110213113331202000
5330313132213443
614100251023040
71412352021102
oct244727754200
963118638426
1022135429248
119429966689
12435913aa80
132119c1ba3a
1410ddb55572
15898480a83
hex5275fd880

22135429248 has 64 divisors (see below), whose sum is σ = 61891845600. Its totient is φ = 6990133248.

The previous prime is 22135429231. The next prime is 22135429249. The reversal of 22135429248 is 84292453122.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (22135429249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509661 + ... + 1524252.

Almost surely, 222135429248 is an apocalyptic number.

It is an amenable number.

22135429248 is an abundant number, since it is smaller than the sum of its proper divisors (39756416352).

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

22135429248 is a wasteful number, since it uses less digits than its factorization.

22135429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033949 (or 3033937 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 22135429248 in words is "twenty-two billion, one hundred thirty-five million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 3033913 6067826 9101739 12135652 18203478 24271304 36406956 48542608 57644347 72813912 97085216 115288694 145627824 172933041 194170432 230577388 291255648 345866082 388340864 461154776 582511296 691732164 922309552 1165022592 1383464328 1844619104 2766928656 3689238208 5533857312 7378476416 11067714624 22135429248