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2200497952 = 251723397443
BaseRepresentation
bin1000001100101000…
…1110111100100000
312200100121212201011
42003022032330200
514001311413302
61002204150304
7105346631632
oct20312167440
95610555634
102200497952
11a2a13a754
12514b38394
13290b771c3
1416c36aa52
15cd2b95d7
hex8328ef20

2200497952 has 96 divisors (see below), whose sum is σ = 4809393792. Its totient is φ = 985780224.

The previous prime is 2200497941. The next prime is 2200497961. The reversal of 2200497952 is 2597940022.

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 15 ways as a sum of consecutive naturals, for example, 4967043 + ... + 4967485.

It is an arithmetic number, because the mean of its divisors is an integer number (50097852).

Almost surely, 22200497952 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 2200497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404696896).

2200497952 is an abundant number, since it is smaller than the sum of its proper divisors (2608895840).

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

2200497952 is a wasteful number, since it uses less digits than its factorization.

2200497952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 2200497952 is about 46909.4654840577. The cubic root of 2200497952 is about 1300.6895655266.

The spelling of 2200497952 in words is "two billion, two hundred million, four hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 397 443 544 736 782 794 886 1564 1588 1772 3128 3176 3544 6256 6352 6749 7088 7531 9131 10189 12512 12704 13498 14176 15062 18262 20378 26996 30124 36524 40756 53992 60248 73048 81512 107984 120496 146096 155227 163024 173213 175871 215968 240992 292192 310454 326048 346426 351742 620908 692852 703484 1241816 1385704 1406968 2483632 2771408 2813936 2989807 4045033 4967264 5542816 5627872 5979614 8090066 11959228 16180132 23918456 32360264 47836912 64720528 68765561 95673824 129441056 137531122 275062244 550124488 1100248976 2200497952