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2238132330 = 2335721671013
BaseRepresentation
bin1000010101100111…
…0011000001101010
312202222102220101000
42011121303001222
514040430213310
61010030535430
7106314545100
oct20531630152
95688386330
102238132330
11a49404a45
12525667576
132988c3075
14173365c70
15d17504c0
hex8567306a

2238132330 has 192 divisors, whose sum is σ = 6991246080. Its totient is φ = 508007808.

The previous prime is 2238132329. The next prime is 2238132349. The reversal of 2238132330 is 332318322.

2238132330 is a `hidden beast` number, since 223 + 81 + 32 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2238132294 and 2238132303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2208904 + ... + 2209916.

It is an arithmetic number, because the mean of its divisors is an integer number (36412740).

Almost surely, 22238132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495623040).

2238132330 is an abundant number, since it is smaller than the sum of its proper divisors (4753113750).

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

2238132330 is a wasteful number, since it uses less digits than its factorization.

2238132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2238132330 is about 47308.9032846884. The cubic root of 2238132330 is about 1308.0627757936.

The spelling of 2238132330 in words is "two billion, two hundred thirty-eight million, one hundred thirty-two thousand, three hundred thirty".