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2214664056 = 2332113190203
BaseRepresentation
bin1000010000000001…
…0001011101111000
312201100021120221200
42010000101131320
514013423222211
61003431534200
7105611222343
oct20400213570
95640246850
102214664056
11a37135980
1251982a360
13293a97107
141701b745a
15ce666b56
hex84011778

2214664056 has 96 divisors (see below), whose sum is σ = 6754475520. Its totient is φ = 649454400.

The previous prime is 2214664051. The next prime is 2214664057. The reversal of 2214664056 is 6504664122.

2214664056 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×22146640562 = 9809473761876742272, which contains 22 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 2214664056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214664051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20550 + ... + 69653.

It is an arithmetic number, because the mean of its divisors is an integer number (70359120).

Almost surely, 22214664056 is an apocalyptic number.

It is an amenable number.

2214664056 is an abundant number, since it is smaller than the sum of its proper divisors (4539811464).

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

2214664056 is a wasteful number, since it uses less digits than its factorization.

2214664056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90257 (or 90250 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2214664056 is about 47060.2173390646. The cubic root of 2214664056 is about 1303.4747388927.

It can be divided in two parts, 221466 and 4056, that added together give a palindrome (225522).

The spelling of 2214664056 in words is "two billion, two hundred fourteen million, six hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 90203 180406 270609 360812 541218 721624 811827 992233 1082436 1623654 1984466 2164872 2796293 2976699 3247308 3968932 5592586 5953398 6494616 7937864 8388879 8930097 11185172 11906796 16777758 17860194 22370344 23813592 25166637 30759223 33555516 35720388 50333274 61518446 67111032 71440776 92277669 100666548 123036892 184555338 201333096 246073784 276833007 369110676 553666014 738221352 1107332028 2214664056