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125340228 = 2232131072503
BaseRepresentation
bin1110111100010…
…00101001000100
322201211221110200
413132020221010
5224041341403
620234250500
73051242256
oct736105104
9281757420
10125340228
1164829a72
1235b86a30
131cc76820
1412909cd6
15b00cca3
hex7788a44

125340228 has 72 divisors (see below), whose sum is σ = 344530368. Its totient is φ = 38190528.

The previous prime is 125340221. The next prime is 125340247. The reversal of 125340228 is 822043521.

125340228 is a `hidden beast` number, since 1 + 253 + 402 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125340221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48825 + ... + 51327.

It is an arithmetic number, because the mean of its divisors is an integer number (4785144).

Almost surely, 2125340228 is an apocalyptic number.

125340228 is a gapful number since it is divisible by the number (18) 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 125340228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172265184).

125340228 is an abundant number, since it is smaller than the sum of its proper divisors (219190140).

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

125340228 is a wasteful number, since it uses less digits than its factorization.

125340228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125340228 is about 11195.5450068320. The cubic root of 125340228 is about 500.4532263809.

Adding to 125340228 its reverse (822043521), we get a palindrome (947383749).

The spelling of 125340228 in words is "one hundred twenty-five million, three hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2503 2782 3852 4173 5006 5564 7509 8346 10012 12519 15018 16692 22527 25038 30036 32539 45054 50076 65078 90108 97617 130156 195234 267821 292851 390468 535642 585702 803463 1071284 1171404 1606926 2410389 3213852 3481673 4820778 6963346 9641556 10445019 13926692 20890038 31335057 41780076 62670114 125340228