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2198195456 = 2837232073
BaseRepresentation
bin1000001100000101…
…1100110100000000
312200012021220021112
42003001130310000
514000214223311
61002042542452
7105321232052
oct20301346400
95605256245
102198195456
11a28907866
12514207a28
1329054c192
1416bd2b8d2
15cceb228b
hex8305cd00

2198195456 has 36 divisors (see below), whose sum is σ = 4506412932. Its totient is φ = 1069387776.

The previous prime is 2198195423. The next prime is 2198195459. The reversal of 2198195456 is 6545918912.

It can be written as a sum of positive squares in 2 ways, for example, as 1273062400 + 925133056 = 35680^2 + 30416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198195459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106565 + ... + 125508.

It is an arithmetic number, because the mean of its divisors is an integer number (125178137).

Almost surely, 22198195456 is an apocalyptic number.

It is an amenable number.

2198195456 is an abundant number, since it is smaller than the sum of its proper divisors (2308217476).

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

2198195456 is an equidigital number, since it uses as much as digits as its factorization.

2198195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232126 (or 232112 counting only the distinct ones).

The product of its digits is 777600, while the sum is 50.

The square root of 2198195456 is about 46884.9171482685. The cubic root of 2198195456 is about 1300.2357473841.

The spelling of 2198195456 in words is "two billion, one hundred ninety-eight million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 232073 464146 928292 1856584 3713168 7426336 8586701 14852672 17173402 29705344 34346804 59410688 68693608 137387216 274774432 549548864 1099097728 2198195456