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190817664 = 273835987
BaseRepresentation
bin10110101111110…
…10010110000000
3111022001112121220
423113322112000
5342322131124
630533515040
74504631502
oct1327722600
9438045556
10190817664
1198791154
1253aa2a80
13306c097b
141b4b1d72
1511b43879
hexb5fa580

190817664 has 64 divisors (see below), whose sum is σ = 513051840. Its totient is φ = 62829056.

The previous prime is 190817657. The next prime is 190817681. The reversal of 190817664 is 466718091.

190817664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1908176642 = 72822761788833792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28879 + ... + 34865.

It is an arithmetic number, because the mean of its divisors is an integer number (8016435).

Almost surely, 2190817664 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 190817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256525920).

190817664 is an abundant number, since it is smaller than the sum of its proper divisors (322234176).

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

190817664 is an equidigital number, since it uses as much as digits as its factorization.

190817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 190817664 is about 13813.6767010090. The cubic root of 190817664 is about 575.7132059926.

The spelling of 190817664 in words is "one hundred ninety million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 5987 7968 10624 11974 15936 17961 23948 31872 35922 47896 71844 95792 143688 191584 287376 383168 496921 574752 766336 993842 1149504 1490763 1987684 2299008 2981526 3975368 5963052 7950736 11926104 15901472 23852208 31802944 47704416 63605888 95408832 190817664