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94214016 = 273513233
BaseRepresentation
bin1011001110110…
…01011110000000
320120021120100000
411213121132000
5143104322031
613203200000
72222543301
oct547313600
9216246300
1094214016
11491aa426
1227676000
1316699050
14c7267a8
1584103e6
hex59d9780

94214016 has 192 divisors, whose sum is σ = 304078320. Its totient is φ = 28864512.

The previous prime is 94214009. The next prime is 94214033. The reversal of 94214016 is 61041249.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 404236 + ... + 404468.

Almost surely, 294214016 is an apocalyptic number.

94214016 is a gapful number since it is divisible by the number (96) 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 94214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152039160).

94214016 is an abundant number, since it is smaller than the sum of its proper divisors (209864304).

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

94214016 is a wasteful number, since it uses less digits than its factorization.

94214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 94214016 is about 9706.3904722610. The cubic root of 94214016 is about 455.0284022040.

The spelling of 94214016 in words is "ninety-four million, two hundred fourteen thousand, sixteen".