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220120122222192 = 24310355578011999
BaseRepresentation
bin110010000011001010110101…
…101100010110011001110000
31001212101021111210020201001110
4302003022311230112121300
5212322422002242102232
62100053442123433320
764236103554356643
oct6203126554263160
91055337453221043
10220120122222192
1164156468524885
1220830907685840
1395a9313b814aa
143c4dc29521a5a
151a6ac699beacc
hexc832b5b16670

220120122222192 has 80 divisors (see below), whose sum is σ = 574267855616000. Its totient is φ = 72647926569216.

The previous prime is 220120122222173. The next prime is 220120122222211. The reversal of 220120122222192 is 291222221021022.

It is an interprime number because it is at equal distance from previous prime (220120122222173) and next prime (220120122222211).

It is a super-2 number, since 2×2201201222221922 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23467809 + ... + 31479807.

It is an arithmetic number, because the mean of its divisors is an integer number (7178348195200).

Almost surely, 2220120122222192 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 220120122222192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287133927808000).

220120122222192 is an abundant number, since it is smaller than the sum of its proper divisors (354147733393808).

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

220120122222192 is a wasteful number, since it uses less digits than its factorization.

220120122222192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017670 (or 8017664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 220120122222192 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 5557 11114 16671 22228 33342 44456 66684 88912 133368 266736 572371 1144742 1717113 2289484 3434226 4578968 6868452 8011999 9157936 13736904 16023998 24035997 27473808 32047996 48071994 64095992 96143988 128191984 192287976 384575952 825235897 1650471794 2475707691 3300943588 4951415382 6601887176 9902830764 13203774352 19805661528 39611323056 44522678443 89045356886 133568035329 178090713772 267136070658 356181427544 534272141316 712362855088 1068544282632 2137088565264 4585835879629 9171671759258 13757507638887 18343343518516 27515015277774 36686687037032 55030030555548 73373374074064 110060061111096 220120122222192