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2422440072 = 2332132588077
BaseRepresentation
bin1001000001100011…
…1000000010001000
320020211020201001200
42100120320002020
514430121040242
61040213144200
7114013254333
oct22030700210
96224221050
102422440072
11103344a098
1257732b060
132c7b448c0
1418da2161a
15e2a0a04c
hex90638088

2422440072 has 48 divisors (see below), whose sum is σ = 7065452940. Its totient is φ = 745365888.

The previous prime is 2422440029. The next prime is 2422440091. The reversal of 2422440072 is 2700442242.

It can be written as a sum of positive squares in 2 ways, for example, as 1699583076 + 722856996 = 41226^2 + 26886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293103 + ... + 1294974.

Almost surely, 22422440072 is an apocalyptic number.

It is an amenable number.

2422440072 is an abundant number, since it is smaller than the sum of its proper divisors (4643012868).

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

2422440072 is a wasteful number, since it uses less digits than its factorization.

2422440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588102 (or 2588095 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2422440072 is about 49218.2900149934. The cubic root of 2422440072 is about 1343.0257741064.

The spelling of 2422440072 in words is "two billion, four hundred twenty-two million, four hundred forty thousand, seventy-two".

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 2588077 5176154 7764231 10352308 15528462 20704616 23292693 31056924 33645001 46585386 62113848 67290002 93170772 100935003 134580004 186341544 201870006 269160008 302805009 403740012 605610018 807480024 1211220036 2422440072