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2242446662664 = 2332132395776349
BaseRepresentation
bin100000101000011100001…
…111001001110000001000
321221101010222000102011200
4200220130033021300020
5243220012321201124
64434055450224200
7321003630064125
oct40503417116010
97841128012150
102242446662664
1179501a75398a
12302726a25060
131336007aba90
147a76c06774c
153d4e7b2abc9
hex20a1c3c9c08

2242446662664 has 48 divisors (see below), whose sum is σ = 6540469435500. Its totient is φ = 689983588224.

The previous prime is 2242446662663. The next prime is 2242446662669. The reversal of 2242446662664 is 4662666442422.

It can be written as a sum of positive squares in 2 ways, for example, as 2183272208100 + 59174454564 = 1477590^2 + 243258^2 .

It is a super-2 number, since 2×22424466626642 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2242446662664.

It is not an unprimeable number, because it can be changed into a prime (2242446662663) 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, 1197887239 + ... + 1197889110.

Almost surely, 22242446662664 is an apocalyptic number.

2242446662664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242446662664 is an abundant number, since it is smaller than the sum of its proper divisors (4298022772836).

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

2242446662664 is a wasteful number, since it uses less digits than its factorization.

2242446662664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395776374 (or 2395776367 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 2242446662664 in words is "two trillion, two hundred forty-two billion, four hundred forty-six million, six hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2395776349 4791552698 7187329047 9583105396 14374658094 19166210792 21561987141 28749316188 31145092537 43123974282 57498632376 62290185074 86247948564 93435277611 124580370148 172495897128 186870555222 249160740296 280305832833 373741110444 560611665666 747482220888 1121223331332 2242446662664