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90994200 = 233521117811
BaseRepresentation
bin1010110110001…
…11011000011000
320100012222120120
411123013120120
5141243303300
613010153240
72153303133
oct533073030
9210188516
1090994200
1147400320
1226582820
1315b0c62b
14c12921a
157ec63a0
hex56c7618

90994200 has 192 divisors, whose sum is σ = 326229120. Its totient is φ = 20736000.

The previous prime is 90994159. The next prime is 90994219. The reversal of 90994200 is 249909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111795 + ... + 112605.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 290994200 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 90994200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

90994200 is an abundant number, since it is smaller than the sum of its proper divisors (235234920).

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

90994200 is a wasteful number, since it uses less digits than its factorization.

90994200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 90994200 is about 9539.0880067227. The cubic root of 90994200 is about 449.7845882584.

The spelling of 90994200 in words is "ninety million, nine hundred ninety-four thousand, two hundred".