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225132505260 = 2235132831019899
BaseRepresentation
bin1101000110101011110…
…0010110100010101100
3210112002212112020100120
43101222330112202230
512142032410132020
6251231402524540
722156664502045
oct3215274264254
9715085466316
10225132505260
1187529480403
1237770506750
13182cb13a570
14ac79cbb8cc
155cc9abc740
hex346af168ac

225132505260 has 96 divisors (see below), whose sum is σ = 681260563200. Its totient is φ = 55221357312.

The previous prime is 225132505223. The next prime is 225132505261. The reversal of 225132505260 is 62505231522.

225132505260 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225132505261) 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 31 ways as a sum of consecutive naturals, for example, 289210 + ... + 730689.

It is an arithmetic number, because the mean of its divisors is an integer number (7096464200).

Almost surely, 2225132505260 is an apocalyptic number.

225132505260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225132505260 is an abundant number, since it is smaller than the sum of its proper divisors (456128057940).

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

225132505260 is a wasteful number, since it uses less digits than its factorization.

225132505260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020207 (or 1020205 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 225132505260 its reverse (62505231522), we get a palindrome (287637736782).

The spelling of 225132505260 in words is "two hundred twenty-five billion, one hundred thirty-two million, five hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 283 390 566 780 849 1132 1415 1698 2830 3396 3679 4245 5660 7358 8490 11037 14716 16980 18395 22074 36790 44148 55185 73580 110370 220740 1019899 2039798 3059697 4079596 5099495 6119394 10198990 12238788 13258687 15298485 20397980 26517374 30596970 39776061 53034748 61193940 66293435 79552122 132586870 159104244 198880305 265173740 288631417 397760610 577262834 795521220 865894251 1154525668 1443157085 1731788502 2886314170 3463577004 3752208421 4329471255 5772628340 7504416842 8658942510 11256625263 15008833684 17317885020 18761042105 22513250526 37522084210 45026501052 56283126315 75044168420 112566252630 225132505260