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14218956 = 2233312137
BaseRepresentation
bin110110001111…
…011011001100
3222202101202000
4312033123030
512120001311
61224432300
7231600453
oct66173314
928671660
1014218956
118031a04
124918690
132c3acab
141c61b9a
1513ad056
hexd8f6cc

14218956 has 72 divisors (see below), whose sum is σ = 38369520. Its totient is φ = 4553280.

The previous prime is 14218951. The next prime is 14218969. The reversal of 14218956 is 65981241.

It is a super-3 number, since 3×142189563 (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14218956.

It is not an unprimeable number, because it can be changed into a prime (14218951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103720 + ... + 103856.

It is an arithmetic number, because the mean of its divisors is an integer number (532910).

Almost surely, 214218956 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 14218956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184760).

14218956 is an abundant number, since it is smaller than the sum of its proper divisors (24150564).

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

14218956 is a wasteful number, since it uses less digits than its factorization.

14218956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14218956 is about 3770.8030974847. The cubic root of 14218956 is about 242.2641970420.

The spelling of 14218956 in words is "fourteen million, two hundred eighteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 137 186 274 279 372 411 548 558 822 837 961 1116 1233 1644 1674 1922 2466 2883 3348 3699 3844 4247 4932 5766 7398 8494 8649 11532 12741 14796 16988 17298 25482 25947 34596 38223 50964 51894 76446 103788 114669 131657 152892 229338 263314 394971 458676 526628 789942 1184913 1579884 2369826 3554739 4739652 7109478 14218956