Search a number
-
+
22232133132 = 22311237322837
BaseRepresentation
bin10100101101001000…
…110110111000001100
32010101101200101021020
4110231020312320030
5331012411230012
614114023434140
71414635004446
oct245510667014
963341611236
1022232133132
119479506750
1243855b5950
132133c7a181
14110c929496
158a1bd3a8c
hex52d236e0c

22232133132 has 48 divisors (see below), whose sum is σ = 59051365632. Its totient is φ = 6444095680.

The previous prime is 22232133107. The next prime is 22232133151. The reversal of 22232133132 is 23133123222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3658383 + ... + 3664454.

It is an arithmetic number, because the mean of its divisors is an integer number (1230236784).

Almost surely, 222232133132 is an apocalyptic number.

22232133132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22232133132 is an abundant number, since it is smaller than the sum of its proper divisors (36819232500).

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

22232133132 is a wasteful number, since it uses less digits than its factorization.

22232133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322878 (or 7322876 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 22232133132 its reverse (23133123222), we get a palindrome (45365256354).

The spelling of 22232133132 in words is "twenty-two billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 7322837 14645674 21968511 29291348 43937022 80551207 87874044 161102414 168425251 241653621 322204828 336850502 483307242 505275753 673701004 966614484 1010551506 1852677761 2021103012 3705355522 5558033283 7410711044 11116066566 22232133132