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23220421224 = 2337111337151173
BaseRepresentation
bin10101101000000010…
…111000001001101000
32012221021022121122220
4111220002320021220
5340023411434344
614400050114040
71451265216030
oct255002701150
965837277586
1023220421224
119936360170
12460057b920
132260946520
1411a3ca88c0
1590d84ec19
hex5680b8268

23220421224 has 512 divisors, whose sum is σ = 81045135360. Its totient is φ = 5349888000.

The previous prime is 23220421219. The next prime is 23220421229. The reversal of 23220421224 is 42212402232.

It is an interprime number because it is at equal distance from previous prime (23220421219) and next prime (23220421229).

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

It is a junction number, because it is equal to n+sod(n) for n = 23220421194 and 23220421203.

It is not an unprimeable number, because it can be changed into a prime (23220421229) 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 127 ways as a sum of consecutive naturals, for example, 134222002 + ... + 134222174.

It is an arithmetic number, because the mean of its divisors is an integer number (158291280).

Almost surely, 223220421224 is an apocalyptic number.

23220421224 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 23220421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40522567680).

23220421224 is an abundant number, since it is smaller than the sum of its proper divisors (57824714136).

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

23220421224 is a wasteful number, since it uses less digits than its factorization.

23220421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23220421224 its reverse (42212402232), we get a palindrome (65432823456).

It can be divided in two parts, 23220 and 421224, that added together give a palindrome (444444).

The spelling of 23220421224 in words is "twenty-three billion, two hundred twenty million, four hundred twenty-one thousand, two hundred twenty-four".