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149850216 = 23332692579
BaseRepresentation
bin10001110111010…
…00100001101000
3101102222011212000
420323220201220
5301330201331
622511451000
73466464045
oct1073504150
9342864760
10149850216
117764a75a
1242226a60
1325078989
1415c8a1cc
15d2500e6
hex8ee8868

149850216 has 64 divisors (see below), whose sum is σ = 417960000. Its totient is φ = 49745088.

The previous prime is 149850209. The next prime is 149850229. The reversal of 149850216 is 612058941.

149850216 is a `hidden beast` number, since 149 + 8 + 502 + 1 + 6 = 666.

149850216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56815 + ... + 59393.

It is an arithmetic number, because the mean of its divisors is an integer number (6530625).

Almost surely, 2149850216 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 149850216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208980000).

149850216 is an abundant number, since it is smaller than the sum of its proper divisors (268109784).

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

149850216 is a wasteful number, since it uses less digits than its factorization.

149850216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149850216 is about 12241.3322804342. The cubic root of 149850216 is about 531.1523709685.

The spelling of 149850216 in words is "one hundred forty-nine million, eight hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2421 2579 3228 4842 5158 6456 7263 7737 9684 10316 14526 15474 19368 20632 23211 29052 30948 46422 58104 61896 69633 92844 139266 185688 278532 557064 693751 1387502 2081253 2775004 4162506 5550008 6243759 8325012 12487518 16650024 18731277 24975036 37462554 49950072 74925108 149850216