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24222330132 = 2237211132711063
BaseRepresentation
bin10110100011110000…
…110110110100010100
32022112002120212022020
4112203300312310110
5344101404031012
615043320333140
71515152260200
oct264360666424
968462525266
1024222330132
11a2aa968160
1248400141b0
1323903a1530
14125ad91b00
1596b7aba8c
hex5a3c36d14

24222330132 has 288 divisors, whose sum is σ = 77598388224. Its totient is φ = 5780678400.

The previous prime is 24222330091. The next prime is 24222330161. The reversal of 24222330132 is 23103322242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22786233 + ... + 22787295.

It is an arithmetic number, because the mean of its divisors is an integer number (269438848).

Almost surely, 224222330132 is an apocalyptic number.

24222330132 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 24222330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38799194112).

24222330132 is an abundant number, since it is smaller than the sum of its proper divisors (53376058092).

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

24222330132 is a wasteful number, since it uses less digits than its factorization.

24222330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 24222330132 its reverse (23103322242), we get a palindrome (47325652374).

The spelling of 24222330132 in words is "twenty-four billion, two hundred twenty-two million, three hundred thirty thousand, one hundred thirty-two".