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65220714 = 237133137
BaseRepresentation
bin1111100011001…
…1000001101010
311112201120000000
43320303001222
5113144030324
610245523430
71421236566
oct370630152
9145646000
1065220714
11338a7319
1219a13576
1310687350
14893a6a6
155ad49c9
hex3e3306a

65220714 has 128 divisors (see below), whose sum is σ = 167516160. Its totient is φ = 18895680.

The previous prime is 65220707. The next prime is 65220761. The reversal of 65220714 is 41702256.

65220714 is a `hidden beast` number, since 652 + 2 + 0 + 7 + 1 + 4 = 666.

65220714 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 (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1762704 + ... + 1762740.

It is an arithmetic number, because the mean of its divisors is an integer number (1308720).

Almost surely, 265220714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65220714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83758080).

65220714 is an abundant number, since it is smaller than the sum of its proper divisors (102295446).

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

65220714 is a wasteful number, since it uses less digits than its factorization.

65220714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 65220714 is about 8075.9342493609. The cubic root of 65220714 is about 402.5271542705.

The spelling of 65220714 in words is "sixty-five million, two hundred twenty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 37 39 54 62 74 78 81 93 111 117 162 186 222 234 243 279 333 351 403 481 486 558 666 702 729 806 837 962 999 1053 1147 1209 1443 1458 1674 1998 2106 2187 2294 2418 2511 2886 2997 3159 3441 3627 4329 4374 5022 5994 6318 6882 7254 7533 8658 8991 9477 10323 10881 12987 14911 15066 17982 18954 20646 21762 22599 25974 26973 28431 29822 30969 32643 38961 44733 45198 53946 56862 61938 65286 67797 77922 80919 89466 92907 97929 116883 134199 135594 161838 185814 195858 233766 268398 278721 293787 350649 402597 557442 587574 701298 805194 836163 881361 1051947 1207791 1672326 1762722 2103894 2415582 2508489 3623373 5016978 7246746 10870119 21740238 32610357 65220714