Search a number
-
+
2122442312368 = 247226211032887
BaseRepresentation
bin11110111000101011011…
…010111000101010110000
321111220101122122210012011
4132320223122320222300
5234233230212443433
64303011520412304
7306225045662500
oct36705332705260
97456348583164
102122442312368
11749139398384
122a3415777094
131251b7730591
1474a2630ba00
153a3225b63cd
hex1ee2b6b8ab0

2122442312368 has 60 divisors (see below), whose sum is σ = 4785446537712. Its totient is φ = 909270203520.

The previous prime is 2122442312329. The next prime is 2122442312369. The reversal of 2122442312368 is 8632132442212.

It is a super-2 number, since 2×21224423123682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122442312368.

It is not an unprimeable number, because it can be changed into a prime (2122442312369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1538421 + ... + 2571307.

Almost surely, 22122442312368 is an apocalyptic number.

2122442312368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2122442312368 is an abundant number, since it is smaller than the sum of its proper divisors (2663004225344).

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

2122442312368 is a wasteful number, since it uses less digits than its factorization.

2122442312368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035530 (or 1035517 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 2122442312368 in words is "two trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2621 5242 10484 18347 20968 36694 41936 73388 128429 146776 256858 293552 513716 1027432 1032887 2054864 2065774 4131548 7230209 8263096 14460418 16526192 28920836 50611463 57841672 101222926 115683344 202445852 404891704 809783408 2707196827 5414393654 10828787308 18950377789 21657574616 37900755578 43315149232 75801511156 132652644523 151603022312 265305289046 303206044624 530610578092 1061221156184 2122442312368