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145225512 = 233219532003
BaseRepresentation
bin10001010011111…
…11011100101000
3101010021012221200
420221333130220
5244134204022
622224404200
73412252665
oct1051773450
9333235850
10145225512
1174a81093
1240776660
1324119973
1415404a6c
15cb39bac
hex8a7f728

145225512 has 96 divisors (see below), whose sum is σ = 422042400. Its totient is φ = 44972928.

The previous prime is 145225439. The next prime is 145225541. The reversal of 145225512 is 215522541.

145225512 is a `hidden beast` number, since 145 + 2 + 2 + 5 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71503 + ... + 73505.

It is an arithmetic number, because the mean of its divisors is an integer number (4396275).

Almost surely, 2145225512 is an apocalyptic number.

145225512 is a gapful number since it is divisible by the number (12) 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 145225512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211021200).

145225512 is an abundant number, since it is smaller than the sum of its proper divisors (276816888).

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

145225512 is a wasteful number, since it uses less digits than its factorization.

145225512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2080 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 145225512 is about 12050.9548169429. The cubic root of 145225512 is about 525.6310018341.

The spelling of 145225512 in words is "one hundred forty-five million, two hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 53 57 72 76 106 114 152 159 171 212 228 318 342 424 456 477 636 684 954 1007 1272 1368 1908 2003 2014 3021 3816 4006 4028 6009 6042 8012 8056 9063 12018 12084 16024 18027 18126 24036 24168 36054 36252 38057 48072 72108 72504 76114 106159 114171 144216 152228 212318 228342 304456 318477 342513 424636 456684 636954 685026 849272 913368 955431 1273908 1370052 1910862 2017021 2547816 2740104 3821724 4034042 6051063 7643448 8068084 12102126 16136168 18153189 24204252 36306378 48408504 72612756 145225512