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149765220 = 2233511191327
BaseRepresentation
bin10001110110100…
…11110001100100
3101102210212021000
420323103301210
5301314441340
622505553300
73465661203
oct1073236144
9342725230
10149765220
11775a1910
12421a5830
1325049097
1415c6723a
15d234d30
hex8ed3c64

149765220 has 192 divisors, whose sum is σ = 535449600. Its totient is φ = 34369920.

The previous prime is 149765219. The next prime is 149765243. The reversal of 149765220 is 22567941.

149765220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1497652202 = 44859242243296800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112197 + ... + 113523.

It is an arithmetic number, because the mean of its divisors is an integer number (2788800).

Almost surely, 2149765220 is an apocalyptic number.

149765220 is a gapful number since it is divisible by the number (10) 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 149765220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267724800).

149765220 is an abundant number, since it is smaller than the sum of its proper divisors (385684380).

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

149765220 is a wasteful number, since it uses less digits than its factorization.

149765220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149765220 is about 12237.8601070612. The cubic root of 149765220 is about 531.0519276358.

The spelling of 149765220 in words is "one hundred forty-nine million, seven hundred sixty-five thousand, two hundred twenty".