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2293874688 = 2143759113
BaseRepresentation
bin1000100010111001…
…1100000000000000
312220212022220111210
42020232130000000
514144212442223
61015341410120
7110562420210
oct21056340000
95825286453
102293874688
11a77918006
12540269940
132a730c101
1417a916240
15d65b1893
hex88b9c000

2293874688 has 240 divisors, whose sum is σ = 7172040960. Its totient is φ = 638582784.

The previous prime is 2293874659. The next prime is 2293874711. The reversal of 2293874688 is 8864783922.

It is a happy number.

It is a super-2 number, since 2×22938746882 = 10523722168494194688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20299720 + ... + 20299832.

It is an arithmetic number, because the mean of its divisors is an integer number (29883504).

Almost surely, 22293874688 is an apocalyptic number.

2293874688 is a gapful number since it is divisible by the number (28) 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 2293874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586020480).

2293874688 is an abundant number, since it is smaller than the sum of its proper divisors (4878166272).

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

2293874688 is an equidigital number, since it uses as much as digits as its factorization.

2293874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 2293874688 is about 47894.4118661040. The cubic root of 2293874688 is about 1318.8332757607.

The spelling of 2293874688 in words is "two billion, two hundred ninety-three million, eight hundred seventy-four thousand, six hundred eighty-eight".