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145225638 = 232312331117
BaseRepresentation
bin10001010011111…
…11011110100110
3101010021020010100
420221333132212
5244134210023
622224404530
73412253235
oct1051773646
9333236110
10145225638
1174a81198
1240776746
1324119a3c
1415404b1c
15cb39c43
hex8a7f7a6

145225638 has 48 divisors (see below), whose sum is σ = 326491776. Its totient is φ = 46604160.

The previous prime is 145225637. The next prime is 145225651. The reversal of 145225638 is 836522541.

145225638 is a `hidden beast` number, since 14 + 5 + 2 + 2 + 5 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145225631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129456 + ... + 130572.

It is an arithmetic number, because the mean of its divisors is an integer number (6801912).

Almost surely, 2145225638 is an apocalyptic number.

145225638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145225638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163245888).

145225638 is an abundant number, since it is smaller than the sum of its proper divisors (181266138).

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

145225638 is a wasteful number, since it uses less digits than its factorization.

145225638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1386 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 145225638 is about 12050.9600447433. The cubic root of 145225638 is about 525.6311538493.

The spelling of 145225638 in words is "one hundred forty-five million, two hundred twenty-five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 233 279 466 558 699 1117 1398 2097 2234 3351 4194 6702 7223 10053 14446 20106 21669 34627 43338 65007 69254 103881 130014 207762 260261 311643 520522 623286 780783 1561566 2342349 4684698 8068091 16136182 24204273 48408546 72612819 145225638