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97990200 = 2332527211101
BaseRepresentation
bin1011101011100…
…11011000111000
320211101102021200
411311303120320
5200041141300
613420134200
72266621500
oct565633070
9224342250
1097990200
1150349540
1228997360
13173bba89
14d02aa00
158909200
hex5d73638

97990200 has 432 divisors, whose sum is σ = 421747560. Its totient is φ = 20160000.

The previous prime is 97990177. The next prime is 97990219. The reversal of 97990200 is 209979.

It is a Cunningham number, because it is equal to 98992-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970150 + ... + 970250.

Almost surely, 297990200 is an apocalyptic number.

97990200 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 97990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210873780).

97990200 is an abundant number, since it is smaller than the sum of its proper divisors (323757360).

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

97990200 is a wasteful number, since it uses less digits than its factorization.

97990200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 97990200 is about 9898.9999494898. Note that the first 4 decimals coincide. The cubic root of 97990200 is about 461.0282605726.

The spelling of 97990200 in words is "ninety-seven million, nine hundred ninety thousand, two hundred".