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196238016 = 26321373359
BaseRepresentation
bin10111011001001…
…01101011000000
3111200020220221200
423230211223000
5400214104031
631250021200
74601665332
oct1354455300
9450226850
10196238016
11a0853587
1255877800
133186ab90
141c0c3452
15123648e6
hexbb25ac0

196238016 has 168 divisors, whose sum is σ = 615756960. Its totient is φ = 59387904.

The previous prime is 196237999. The next prime is 196238017. The reversal of 196238016 is 610832691.

196238016 is a `hidden beast` number, since 19 + 623 + 8 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (196238017) by changing a digit.

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, 546445 + ... + 546803.

It is an arithmetic number, because the mean of its divisors is an integer number (3665220).

Almost surely, 2196238016 is an apocalyptic number.

196238016 is a gapful number since it is divisible by the number (16) 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 196238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307878480).

196238016 is an abundant number, since it is smaller than the sum of its proper divisors (419518944).

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

196238016 is a wasteful number, since it uses less digits than its factorization.

196238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196238016 is about 14008.4979922903. The cubic root of 196238016 is about 581.1136115651.

The spelling of 196238016 in words is "one hundred ninety-six million, two hundred thirty-eight thousand, sixteen".