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2235290112 = 293211219211
BaseRepresentation
bin1000010100111011…
…1101001000000000
312202210002111120200
42011032331020000
514034213240422
61005450005200
7106251436536
oct20516751000
95683074520
102235290112
11a47843600
12524716800
13298139493
14172c26156
15d138d2ac
hex853bd200

2235290112 has 360 divisors, whose sum is σ = 7499572080. Its totient is φ = 638668800.

The previous prime is 2235290087. The next prime is 2235290117. The reversal of 2235290112 is 2110925322.

It is a happy number.

2235290112 is a `hidden beast` number, since 2 + 23 + 529 + 0 + 112 = 666.

It is not an unprimeable number, because it can be changed into a prime (2235290117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10593687 + ... + 10593897.

Almost surely, 22235290112 is an apocalyptic number.

2235290112 is a gapful number since it is divisible by the number (22) 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 2235290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749786040).

2235290112 is an abundant number, since it is smaller than the sum of its proper divisors (5264281968).

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

2235290112 is a wasteful number, since it uses less digits than its factorization.

2235290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2235290112 is about 47278.8548084659. The cubic root of 2235290112 is about 1307.5088355909.

The spelling of 2235290112 in words is "two billion, two hundred thirty-five million, two hundred ninety thousand, one hundred twelve".