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9221475648 = 2637111736691
BaseRepresentation
bin10001001011010010…
…01000110101000000
3212210122211111111010
420211221020311000
5122341144210043
64123012120520
7444342151440
oct104551106500
925718744433
109221475648
113a02312160
121954306140
13b3c616588
146369c8120
1538e879133
hex225a48d40

9221475648 has 224 divisors, whose sum is σ = 32209118208. Its totient is φ = 2254233600.

The previous prime is 9221475643. The next prime is 9221475673. The reversal of 9221475648 is 8465741229.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×92214756482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9221475597 and 9221475606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9221475643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232983 + ... + 269673.

Almost surely, 29221475648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9221475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104559104).

9221475648 is an abundant number, since it is smaller than the sum of its proper divisors (22987642560).

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

9221475648 is a wasteful number, since it uses less digits than its factorization.

9221475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36741 (or 36731 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 9221475648 is about 96028.5147651467. The cubic root of 9221475648 is about 2097.0082605136.

The spelling of 9221475648 in words is "nine billion, two hundred twenty-one million, four hundred seventy-five thousand, six hundred forty-eight".