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2122456704 = 27350910859
BaseRepresentation
bin111111010000010…
…0001111010000000
312110220202222020120
41332200201322000
513321322103304
6550335340240
7103411404264
oct17640417200
95426688216
102122456704
1199a087155
124b2981680
1327a951554
14161c540a4
15c65010d9
hex7e821e80

2122456704 has 64 divisors (see below), whose sum is σ = 5649372000. Its totient is φ = 706030592.

The previous prime is 2122456697. The next prime is 2122456759. The reversal of 2122456704 is 4076542212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190027 + ... + 200885.

Almost surely, 22122456704 is an apocalyptic number.

2122456704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824686000).

2122456704 is an abundant number, since it is smaller than the sum of its proper divisors (3526915296).

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

2122456704 is a wasteful number, since it uses less digits than its factorization.

2122456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2122456704 is about 46070.1281092206. The cubic root of 2122456704 is about 1285.1276862424.

Adding to 2122456704 its reverse (4076542212), we get a palindrome (6198998916).

The spelling of 2122456704 in words is "two billion, one hundred twenty-two million, four hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 509 1018 1527 2036 3054 4072 6108 8144 10859 12216 16288 21718 24432 32576 32577 43436 48864 65152 65154 86872 97728 130308 173744 195456 260616 347488 521232 694976 1042464 1389952 2084928 4169856 5527231 11054462 16581693 22108924 33163386 44217848 66326772 88435696 132653544 176871392 265307088 353742784 530614176 707485568 1061228352 2122456704