Search a number
-
+
22330113432 = 233112191014007
BaseRepresentation
bin10100110010111110…
…100111110110011000
32010122020001021222020
4110302332213312120
5331213002112212
614131443454440
71420234555344
oct246276476630
963566037866
1022330113432
119519848800
1243b2387420
13214b364593
14111b952624
158aa5d9d8c
hex532fa7d98

22330113432 has 192 divisors, whose sum is σ = 65247033600. Its totient is φ = 6345504000.

The previous prime is 22330113427. The next prime is 22330113461. The reversal of 22330113432 is 23431103322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5570773 + ... + 5574779.

It is an arithmetic number, because the mean of its divisors is an integer number (339828300).

Almost surely, 222330113432 is an apocalyptic number.

22330113432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32623516800).

22330113432 is an abundant number, since it is smaller than the sum of its proper divisors (42916920168).

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

22330113432 is a wasteful number, since it uses less digits than its factorization.

22330113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4143 counting only the distinct ones).

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

Adding to 22330113432 its reverse (23431103322), we get a palindrome (45761216754).

The spelling of 22330113432 in words is "twenty-two billion, three hundred thirty million, one hundred thirteen thousand, four hundred thirty-two".