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9233672640 = 263537475531
BaseRepresentation
bin10001001100101111…
…01010100111000000
3212211111210011121120
420212113222213000
5122402310011030
64124125352240
7444550631253
oct104627524700
925744704546
109233672640
113a09192a15
121958408680
13b41cc712a
1463848109a
15390988010
hex2265ea9c0

9233672640 has 224 divisors, whose sum is σ = 30755441664. Its totient is φ = 2344366080.

The previous prime is 9233672633. The next prime is 9233672641. The reversal of 9233672640 is 462763329.

It is a junction number, because it is equal to n+sod(n) for n = 9233672592 and 9233672601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9233672641) 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, 1666675 + ... + 1672205.

Almost surely, 29233672640 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 9233672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377720832).

9233672640 is an abundant number, since it is smaller than the sum of its proper divisors (21521769024).

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

9233672640 is a wasteful number, since it uses less digits than its factorization.

9233672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 9233672640 is about 96092.0009157890. Note that the first 3 decimals coincide. The cubic root of 9233672640 is about 2097.9324048871.

The spelling of 9233672640 in words is "nine billion, two hundred thirty-three million, six hundred seventy-two thousand, six hundred forty".