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2199969728 = 26112172983
BaseRepresentation
bin1000001100100000…
…1101111111000000
312200022122001010022
42003020031333000
514001143012403
61002144553012
7105342301625
oct20310157700
95608561108
102199969728
11a29909900
12514922768
13290a20948
1416c27034c
15cd212d38
hex8320dfc0

2199969728 has 126 divisors (see below), whose sum is σ = 5102568408. Its totient is φ = 940206080.

The previous prime is 2199969727. The next prime is 2199969731. The reversal of 2199969728 is 8279699912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199969727) 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 17 ways as a sum of consecutive naturals, for example, 2237525 + ... + 2238507.

Almost surely, 22199969728 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 2199969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551284204).

2199969728 is an abundant number, since it is smaller than the sum of its proper divisors (2902598680).

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

2199969728 is a wasteful number, since it uses less digits than its factorization.

2199969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1013 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 62.

The square root of 2199969728 is about 46903.8348965199. The cubic root of 2199969728 is about 1300.5854814446.

The spelling of 2199969728 in words is "two billion, one hundred ninety-nine million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 289 352 374 484 544 578 704 748 968 983 1088 1156 1496 1936 1966 2057 2312 2992 3179 3872 3932 4114 4624 5984 6358 7744 7864 8228 9248 10813 11968 12716 15728 16456 16711 18496 21626 25432 31456 32912 33422 34969 43252 50864 62912 65824 66844 69938 86504 101728 118943 131648 133688 139876 173008 183821 203456 237886 267376 279752 284087 346016 367642 475772 534752 559504 568174 692032 735284 951544 1069504 1119008 1136348 1470568 1903088 2022031 2238016 2272696 2941136 3124957 3806176 4044062 4545392 5882272 6249914 7612352 8088124 9090784 11764544 12499828 16176248 18181568 24999656 32352496 34374527 49999312 64704992 68749054 99998624 129409984 137498108 199997248 274996216 549992432 1099984864 2199969728