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22456820736 = 21032722232
BaseRepresentation
bin10100111010100001…
…111110010000000000
32010222001110200201100
4110322201332100000
5331442421230421
614152211334400
71423333553400
oct247241762000
963861420640
1022456820736
119584320889
1244288b1400
13216b69940c
1411306d6800
158b67b7c26
hex53a87e400

22456820736 has 297 divisors, whose sum is σ = 75770059131. Its totient is φ = 6387462144.

The previous prime is 22456820731. The next prime is 22456820761. The reversal of 22456820736 is 63702865422.

The square root of 22456820736 is 149856.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 22456820691 and 22456820700.

It is not an unprimeable number, because it can be changed into a prime (22456820731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100703121 + ... + 100703343.

Almost surely, 222456820736 is an apocalyptic number.

22456820736 is the 149856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22456820736

22456820736 is an abundant number, since it is smaller than the sum of its proper divisors (53313238395).

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

22456820736 is an equidigital number, since it uses as much as digits as its factorization.

22456820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22456820736 in words is "twenty-two billion, four hundred fifty-six million, eight hundred twenty thousand, seven hundred thirty-six".