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997224480 = 2533573673
BaseRepresentation
bin111011011100000…
…111000000100000
32120111110020211000
4323130013000200
54020242140410
6242541552000
733466161000
oct7334070040
92514406730
10997224480
114719a856a
12239b75600
1312b7a7a75
1496628000
155c833dc0
hex3b707020

997224480 has 384 divisors, whose sum is σ = 4076352000. Its totient is φ = 227598336.

The previous prime is 997224463. The next prime is 997224563. The reversal of 997224480 is 84422799.

It is a super-2 number, since 2×9972244802 = 1988913327022540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481424 + ... + 1482096.

It is an arithmetic number, because the mean of its divisors is an integer number (10615500).

Almost surely, 2997224480 is an apocalyptic number.

997224480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038176000).

997224480 is an abundant number, since it is smaller than the sum of its proper divisors (3079127520).

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

997224480 is a wasteful number, since it uses less digits than its factorization.

997224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 997224480 is about 31578.8612840932. The cubic root of 997224480 is about 999.0739693987.

The spelling of 997224480 in words is "nine hundred ninety-seven million, two hundred twenty-four thousand, four hundred eighty".