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2199137004 = 2232197310087
BaseRepresentation
bin1000001100010100…
…0010101011101100
312200021001201211200
42003011002223230
514000434341004
61002115045500
7105332233101
oct20305025354
95607051750
102199137004
11a293a01a9
125145a0890
132907bb8cc
1416c0d4aa8
15cd0eb239
hex83142aec

2199137004 has 36 divisors (see below), whose sum is σ = 5587165584. Its totient is φ = 729322272.

The previous prime is 2199136963. The next prime is 2199137009. The reversal of 2199137004 is 4007319912.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2199137004.

It is not an unprimeable number, because it can be changed into a prime (2199137009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147952 + ... + 162135.

It is an arithmetic number, because the mean of its divisors is an integer number (155199044).

Almost surely, 22199137004 is an apocalyptic number.

It is an amenable number.

2199137004 is an abundant number, since it is smaller than the sum of its proper divisors (3388028580).

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

2199137004 is a wasteful number, since it uses less digits than its factorization.

2199137004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310294 (or 310289 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2199137004 is about 46894.9571276059. The cubic root of 2199137004 is about 1300.4213632134.

The spelling of 2199137004 in words is "two billion, one hundred ninety-nine million, one hundred thirty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 310087 620174 930261 1240348 1860522 2790783 3721044 5581566 11163132 61087139 122174278 183261417 244348556 366522834 549784251 733045668 1099568502 2199137004