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2957220144 = 24336845417
BaseRepresentation
bin1011000001000011…
…1001100100110000
321122002112100102000
42300100321210300
522024022021034
61205235254000
7133165646034
oct26020714460
97562470360
102957220144
11128830129a
126a644a300
13381886608
14200a6c1c4
15124943599
hexb0439930

2957220144 has 40 divisors (see below), whose sum is σ = 8488318320. Its totient is φ = 985739904.

The previous prime is 2957220139. The next prime is 2957220181. The reversal of 2957220144 is 4410227592.

2957220144 is a `hidden beast` number, since 29 + 572 + 20 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2957220099 and 2957220108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3422277 + ... + 3423140.

It is an arithmetic number, because the mean of its divisors is an integer number (212207958).

Almost surely, 22957220144 is an apocalyptic number.

2957220144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2957220144 is an abundant number, since it is smaller than the sum of its proper divisors (5531098176).

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

2957220144 is a wasteful number, since it uses less digits than its factorization.

2957220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845434 (or 6845422 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2957220144 is about 54380.3286492460. The cubic root of 2957220144 is about 1435.3612535675.

The spelling of 2957220144 in words is "two billion, nine hundred fifty-seven million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6845417 13690834 20536251 27381668 41072502 54763336 61608753 82145004 109526672 123217506 164290008 184826259 246435012 328580016 369652518 492870024 739305036 985740048 1478610072 2957220144