Search a number
-
+
214772974123320 = 23335416772393107
BaseRepresentation
bin110000110101010110111010…
…110101000111100100111000
31001011110002120211201222011000
4300311112322311013210320
5211122320022333421240
62040441201530405000
763144556341431004
oct6065267265074470
91034402524658130
10214772974123320
1162484785855558
1220108536590760
1392ac00a01b692
143b070d2d9b704
1519c6b107d7430
hexc355bad47938

214772974123320 has 256 divisors, whose sum is σ = 744316979212800. Its totient is φ = 55041926353920.

The previous prime is 214772974123319. The next prime is 214772974123333. The reversal of 214772974123320 is 23321479277412.

214772974123320 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 7 + 297 + 4 + 1 + 23 + 320 = 666.

It is a super-2 number, since 2×2147729741233202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33229794 + ... + 39163313.

It is an arithmetic number, because the mean of its divisors is an integer number (2907488200050).

Almost surely, 2214772974123320 is an apocalyptic number.

214772974123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214772974123320 is an abundant number, since it is smaller than the sum of its proper divisors (529544005089480).

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

214772974123320 is a wasteful number, since it uses less digits than its factorization.

214772974123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72393235 (or 72393225 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 214772974123320 in words is "two hundred fourteen trillion, seven hundred seventy-two billion, nine hundred seventy-four million, one hundred twenty-three thousand, three hundred twenty".