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2320224481 = 173141731471
BaseRepresentation
bin1000101001001011…
…1101000011100001
312222200220121122001
42022102331003201
514222434140411
61022122244001
7111332403601
oct21222750341
95880817561
102320224481
11a90784aa3
12549056601
132ac9067c3
14180214c01
15d8a68dc1
hex8a4bd0e1

2320224481 has 32 divisors (see below), whose sum is σ = 2635186176. Its totient is φ = 2032128000.

The previous prime is 2320224469. The next prime is 2320224497. The reversal of 2320224481 is 1844220232.

It is a 3-Lehmer number, since φ(2320224481) divides (2320224481-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 2320224481 - 25 = 2320224449 is a prime.

It is a super-2 number, since 2×23202244812 = 10766883284463438722, which contains 22 as substring.

It is a deceptive number, since it divides R2320224480.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2320224421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576576 + ... + 1578046.

It is an arithmetic number, because the mean of its divisors is an integer number (82349568).

It is a Poulet number, since it divides 22320224480-1.

Almost surely, 22320224481 is an apocalyptic number.

It is an amenable number.

2320224481 is a deficient number, since it is larger than the sum of its proper divisors (314961695).

2320224481 is a wasteful number, since it uses less digits than its factorization.

2320224481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2320224481 is about 48168.7085253487. The cubic root of 2320224481 is about 1323.8638854559.

It can be divided in two parts, 2320 and 224481, that added together give a triangular number (226801 = T673).

The spelling of 2320224481 in words is "two billion, three hundred twenty million, two hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 17 31 41 73 527 697 1241 1271 1471 2263 2993 21607 25007 38471 45601 50881 60311 92783 107383 775217 1025287 1577311 1825511 1869641 3328873 4402703 31783897 56590841 74845951 136483793 2320224481