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190230633216 = 28351317101137
BaseRepresentation
bin1011000100101010100…
…0010001101100000000
3200012000111111102200000
42301022220101230000
511104043020230331
6223220222400000
716513043463051
oct2611250215400
9605014442600
10190230633216
1173749262358
1230a4ba30000
1314c28353280
1492c8836728
154e359720e6
hex2c4aa11b00

190230633216 has 864 divisors, whose sum is σ = 659784460608. Its totient is φ = 54145843200.

The previous prime is 190230633211. The next prime is 190230633217. The reversal of 190230633216 is 612336032091.

It is a happy number.

190230633216 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 3 + 0 + 633 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (190230633211) 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 95 ways as a sum of consecutive naturals, for example, 1388544700 + ... + 1388544836.

It is an arithmetic number, because the mean of its divisors is an integer number (763639422).

Almost surely, 2190230633216 is an apocalyptic number.

190230633216 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 190230633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329892230304).

190230633216 is an abundant number, since it is smaller than the sum of its proper divisors (469553827392).

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

190230633216 is a wasteful number, since it uses less digits than its factorization.

190230633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 190230633216 in words is "one hundred ninety billion, two hundred thirty million, six hundred thirty-three thousand, two hundred sixteen".