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65222960 = 24511137541
BaseRepresentation
bin1111100011001…
…1100100110000
311112201200002012
43320303210300
5113144113320
610245542052
71421246255
oct370634460
9145650065
1065222960
11338a8a80
1219a14928
131068838a
14893b42c
155ad54c5
hex3e33930

65222960 has 80 divisors (see below), whose sum is σ = 166944672. Its totient is φ = 23500800.

The previous prime is 65222947. The next prime is 65223017. The reversal of 65222960 is 6922256.

It is a happy number.

65222960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×652229602 = 8508069022323200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 120290 + ... + 120830.

Almost surely, 265222960 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 65222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472336).

65222960 is an abundant number, since it is smaller than the sum of its proper divisors (101721712).

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

65222960 is a wasteful number, since it uses less digits than its factorization.

65222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 65222960 is about 8076.0733032830. The cubic root of 65222960 is about 402.5317748149.

The spelling of 65222960 in words is "sixty-five million, two hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 137 176 220 274 440 541 548 685 880 1082 1096 1370 1507 2164 2192 2705 2740 3014 4328 5410 5480 5951 6028 7535 8656 10820 10960 11902 12056 15070 21640 23804 24112 29755 30140 43280 47608 59510 60280 74117 95216 119020 120560 148234 238040 296468 370585 476080 592936 741170 815287 1185872 1482340 1630574 2964680 3261148 4076435 5929360 6522296 8152870 13044592 16305740 32611480 65222960