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225243001260 = 22335417116669
BaseRepresentation
bin1101000111000110000…
…1110111000110101100
3210112101120110000101000
43101301201313012230
512142244202020020
6251250351120300
722162505630604
oct3216141670654
9715346400330
10225243001260
1187585890712
12377a1513090
1318317cb7604
14ac8a841c04
155cd4647090
hex34718771ac

225243001260 has 48 divisors (see below), whose sum is σ = 700756005600. Its totient is φ = 60064800192.

The previous prime is 225243001229. The next prime is 225243001267. The reversal of 225243001260 is 62100342522.

It is a happy number.

225243001260 is a `hidden beast` number, since 225 + 2 + 430 + 0 + 1 + 2 + 6 + 0 = 666.

225243001260 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 2×2252430012602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225243001267) 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 15 ways as a sum of consecutive naturals, for example, 208557795 + ... + 208558874.

It is an arithmetic number, because the mean of its divisors is an integer number (14599083450).

Almost surely, 2225243001260 is an apocalyptic number.

225243001260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225243001260 is an abundant number, since it is smaller than the sum of its proper divisors (475513004340).

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

225243001260 is a wasteful number, since it uses less digits than its factorization.

225243001260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417116687 (or 417116679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 225243001260 its reverse (62100342522), we get a palindrome (287343343782).

The spelling of 225243001260 in words is "two hundred twenty-five billion, two hundred forty-three million, one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 417116669 834233338 1251350007 1668466676 2085583345 2502700014 3754050021 4171166690 5005400028 6256750035 7508100042 8342333380 11262150063 12513500070 15016200084 18770250105 22524300126 25027000140 37540500210 45048600252 56310750315 75081000420 112621500630 225243001260