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22553240424 = 233111379193431
BaseRepresentation
bin10101000000010001…
…110010001101101000
32011012202220022122220
4111000101302031220
5332142112143144
614205534114040
71425614244351
oct250021621550
964182808586
1022553240424
119623797380
12445504b920
1321856583a0
14113d434d28
158beeb1919
hex540472368

22553240424 has 256 divisors, whose sum is σ = 67582771200. Its totient is φ = 6182092800.

The previous prime is 22553240419. The next prime is 22553240429. The reversal of 22553240424 is 42404235522.

It is an interprime number because it is at equal distance from previous prime (22553240419) and next prime (22553240429).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22553240429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52327489 + ... + 52327919.

It is an arithmetic number, because the mean of its divisors is an integer number (263995200).

Almost surely, 222553240424 is an apocalyptic number.

22553240424 is a gapful number since it is divisible by the number (24) 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 22553240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33791385600).

22553240424 is an abundant number, since it is smaller than the sum of its proper divisors (45029530776).

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

22553240424 is a wasteful number, since it uses less digits than its factorization.

22553240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 22553240424 its reverse (42404235522), we get a palindrome (64957475946).

The spelling of 22553240424 in words is "twenty-two billion, five hundred fifty-three million, two hundred forty thousand, four hundred twenty-four".