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166265216 = 2713163613
BaseRepresentation
bin10011110100100…
…00000110000000
3102120212010222222
421322100012000
5320030441331
624255350212
74056142145
oct1172200600
9376763888
10166265216
1185941577
1247822368
13285a53b0
14181203cc
15e8e3b7b
hex9e90180

166265216 has 64 divisors (see below), whose sum is σ = 359484720. Its totient is φ = 76142592.

The previous prime is 166265201. The next prime is 166265227. The reversal of 166265216 is 612562661.

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

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, 270926 + ... + 271538.

Almost surely, 2166265216 is an apocalyptic number.

166265216 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 166265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179742360).

166265216 is an abundant number, since it is smaller than the sum of its proper divisors (193219504).

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

166265216 is a wasteful number, since it uses less digits than its factorization.

166265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 166265216 is about 12894.3869958986. The cubic root of 166265216 is about 549.8789992770.

The spelling of 166265216 in words is "one hundred sixty-six million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 208 326 416 613 652 832 1226 1304 1664 2119 2452 2608 4238 4904 5216 7969 8476 9808 10432 15938 16952 19616 20864 31876 33904 39232 63752 67808 78464 99919 127504 135616 199838 255008 271232 399676 510016 799352 1020032 1298947 1598704 2597894 3197408 5195788 6394816 10391576 12789632 20783152 41566304 83132608 166265216