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220200122240334 = 232151215337629121
BaseRepresentation
bin110010000100010101010110…
…000100001100110101001110
31001212122221000010101200221100
4302010111112010030311032
5212330224322243142314
62100154312321443530
764244635206325305
oct6204252604146516
91055587003350840
10220200122240334
1164187390443555
12208443134a05a6
1395b3a22cc1632
143c53a582a343c
151a6cd9ce93c09
hexc8455610cd4e

220200122240334 has 48 divisors (see below), whose sum is σ = 480482947455264. Its totient is φ = 72880079616000.

The previous prime is 220200122240303. The next prime is 220200122240381. The reversal of 220200122240334 is 433042221002022.

220200122240334 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 0 + 1 + 222 + 403 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220200122240298 and 220200122240307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12962707 + ... + 24666414.

It is an arithmetic number, because the mean of its divisors is an integer number (10010061405318).

Almost surely, 2220200122240334 is an apocalyptic number.

220200122240334 is an abundant number, since it is smaller than the sum of its proper divisors (260282825214930).

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

220200122240334 is a wasteful number, since it uses less digits than its factorization.

220200122240334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37631433 (or 37631430 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 220200122240334 its reverse (433042221002022), we get a palindrome (653242343242356).

The spelling of 220200122240334 in words is "two hundred twenty trillion, two hundred billion, one hundred twenty-two million, two hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2153 2718 4306 6459 12918 19377 38754 325103 650206 975309 1950618 2925927 5851854 37629121 75258242 112887363 225774726 338662089 677324178 5681997271 11363994542 17045991813 34091983626 51137975439 81015497513 102275950878 162030995026 243046492539 486092985078 729139477617 1458278955234 12233340124463 24466680248926 36700020373389 73400040746778 110100061120167 220200122240334