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217150116 = 22353421811
BaseRepresentation
bin11001111000101…
…11001010100100
3120010121100221220
430330113022210
5421042300431
633314140340
75244513501
oct1474271244
9503540856
10217150116
11101637107
12608816b0
1335cb04c1
1420ba84a8
15140e5b96
hexcf172a4

217150116 has 48 divisors (see below), whose sum is σ = 518107968. Its totient is φ = 70761600.

The previous prime is 217150111. The next prime is 217150139. The reversal of 217150116 is 611051712.

217150116 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (217150111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267351 + ... + 268161.

It is an arithmetic number, because the mean of its divisors is an integer number (10793916).

Almost surely, 2217150116 is an apocalyptic number.

It is an amenable number.

217150116 is an abundant number, since it is smaller than the sum of its proper divisors (300957852).

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

217150116 is a wasteful number, since it uses less digits than its factorization.

217150116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 217150116 is about 14736.0142508074. The cubic root of 217150116 is about 601.0630376947.

Subtracting from 217150116 its product of nonzero digits (420), we obtain a square (217149696 = 147362).

The spelling of 217150116 in words is "two hundred seventeen million, one hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 421 636 811 842 1263 1622 1684 2433 2526 3244 4866 5052 9732 22313 42983 44626 66939 85966 89252 128949 133878 171932 257898 267756 341431 515796 682862 1024293 1365724 2048586 4097172 18095843 36191686 54287529 72383372 108575058 217150116