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997208160 = 253513219647
BaseRepresentation
bin111011011100000…
…011000001100000
32120111102102102120
4323130003001200
54020241130120
6242541344240
733466062264
oct7334030140
92514372376
10997208160
11471997283
12239b68080
1312b7a0500
14966220a4
155c82e140
hex3b703060

997208160 has 288 divisors, whose sum is σ = 3585980160. Its totient is φ = 232187904.

The previous prime is 997208153. The next prime is 997208183. The reversal of 997208160 is 61802799.

It is a super-2 number, since 2×9972081602 = 1988848228741171200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540957 + ... + 1541603.

It is an arithmetic number, because the mean of its divisors is an integer number (12451320).

Almost surely, 2997208160 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 997208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792990080).

997208160 is an abundant number, since it is smaller than the sum of its proper divisors (2588772000).

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

997208160 is a wasteful number, since it uses less digits than its factorization.

997208160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 997208160 is about 31578.6028823316. The cubic root of 997208160 is about 999.0685192797.

It can be divided in two parts, 99720 and 8160, that added together give a triangular number (107880 = T464).

The spelling of 997208160 in words is "nine hundred ninety-seven million, two hundred eight thousand, one hundred sixty".