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2422266144 = 25373345643
BaseRepresentation
bin1001000001100000…
…1101100100100000
320020210220212110220
42100120031210200
514430100004034
61040205323040
7114011631264
oct22030154440
96223825426
102422266144
111033340451
12577266480
132c7ab369c
1418d9b80a4
15e29c3749
hex9060d920

2422266144 has 48 divisors (see below), whose sum is σ = 6445569312. Its totient is φ = 796359168.

The previous prime is 2422266139. The next prime is 2422266149. The reversal of 2422266144 is 4416622242.

It is an interprime number because it is at equal distance from previous prime (2422266139) and next prime (2422266149).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2422266149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165814 + ... + 179829.

It is an arithmetic number, because the mean of its divisors is an integer number (134282694).

Almost surely, 22422266144 is an apocalyptic number.

2422266144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2422266144 is an abundant number, since it is smaller than the sum of its proper divisors (4023303168).

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

2422266144 is a wasteful number, since it uses less digits than its factorization.

2422266144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345729 (or 345721 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 2422266144 is about 49216.5230791449. The cubic root of 2422266144 is about 1342.9936308444.

Adding to 2422266144 its reverse (4416622242), we get a palindrome (6838888386).

The spelling of 2422266144 in words is "two billion, four hundred twenty-two million, two hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 345643 691286 1036929 1382572 2073858 2765144 4147716 5530288 8295432 11060576 16590864 25231939 33181728 50463878 75695817 100927756 151391634 201855512 302783268 403711024 605566536 807422048 1211133072 2422266144