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2234321280 = 27335314397
BaseRepresentation
bin1000010100101101…
…0000100110000000
312202201021021121000
42011023100212000
514033441240110
61005413132000
7106240263132
oct20513204600
95681237530
102234321280
11a47241714
1252432a000
13297b8a4c9
14172a53052
15d124b1c0
hex852d0980

2234321280 has 512 divisors, whose sum is σ = 8444620800. Its totient is φ = 557383680.

The previous prime is 2234321273. The next prime is 2234321303. The reversal of 2234321280 is 821234322.

2234321280 is a `hidden beast` number, since 22 + 343 + 21 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23034192 + ... + 23034288.

It is an arithmetic number, because the mean of its divisors is an integer number (16493400).

Almost surely, 22234321280 is an apocalyptic number.

2234321280 is a gapful number since it is divisible by the number (20) 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 2234321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222310400).

2234321280 is an abundant number, since it is smaller than the sum of its proper divisors (6210299520).

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

2234321280 is a wasteful number, since it uses less digits than its factorization.

2234321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2234321280 is about 47268.6077645619. The cubic root of 2234321280 is about 1307.3199056838.

The spelling of 2234321280 in words is "two billion, two hundred thirty-four million, three hundred twenty-one thousand, two hundred eighty".