Search a number
-
+
15225142410 = 2325187990031
BaseRepresentation
bin11100010110111110…
…10011110010001010
31110022001210101000100
432023133103302022
5222140114024120
610554435350230
71046202401202
oct161337236212
943261711010
1015225142410
116503217925
122b4aa52376
13158839730a
14a460ad402
155e1988490
hex38b7d3c8a

15225142410 has 48 divisors (see below), whose sum is σ = 39606877440. Its totient is φ = 4057832160.

The previous prime is 15225142393. The next prime is 15225142411. The reversal of 15225142410 is 1424152251.

It is a happy number.

15225142410 is a `hidden beast` number, since 1 + 5 + 225 + 1 + 424 + 10 = 666.

It is a super-2 number, since 2×152251424102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15225142411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124095 + ... + 214125.

It is an arithmetic number, because the mean of its divisors is an integer number (825143280).

Almost surely, 215225142410 is an apocalyptic number.

15225142410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15225142410 is an abundant number, since it is smaller than the sum of its proper divisors (24381735030).

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

15225142410 is a wasteful number, since it uses less digits than its factorization.

15225142410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91923 (or 91920 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 15225142410 its reverse (1424152251), we get a palindrome (16649294661).

The spelling of 15225142410 in words is "fifteen billion, two hundred twenty-five million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1879 3758 5637 9395 11274 16911 18790 28185 33822 56370 84555 90031 169110 180062 270093 450155 540186 810279 900310 1350465 1620558 2700930 4051395 8102790 169168249 338336498 507504747 845841245 1015009494 1522514241 1691682490 2537523735 3045028482 5075047470 7612571205 15225142410