Search a number
-
+
61225668 = 223271511609
BaseRepresentation
bin1110100110001…
…1101011000100
311021012120211100
43221203223010
5111133210133
610024140100
71342260330
oct351435304
9137176740
1061225668
1131618829
1218607630
13c8b8b0a
1481ba7c0
155595e13
hex3a63ac4

61225668 has 72 divisors (see below), whose sum is σ = 178156160. Its totient is φ = 17366400.

The previous prime is 61225613. The next prime is 61225693. The reversal of 61225668 is 86652216.

61225668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37248 + ... + 38856.

Almost surely, 261225668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61225668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89078080).

61225668 is an abundant number, since it is smaller than the sum of its proper divisors (116930492).

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

61225668 is a wasteful number, since it uses less digits than its factorization.

61225668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1772 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61225668 is about 7824.6832523751. The cubic root of 61225668 is about 394.1345534066.

The spelling of 61225668 in words is "sixty-one million, two hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 906 1057 1359 1609 1812 2114 2718 3171 3218 4228 4827 5436 6342 6436 9513 9654 11263 12684 14481 19026 19308 22526 28962 33789 38052 45052 57924 67578 101367 135156 202734 242959 405468 485918 728877 971836 1457754 1700713 2186631 2915508 3401426 4373262 5102139 6802852 8746524 10204278 15306417 20408556 30612834 61225668