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2293516680 = 23357131391511
BaseRepresentation
bin1000100010110100…
…0100100110001000
312220211122201102020
42020231010212020
514144120013210
61015330004440
7110556366360
oct21055044610
95824581366
102293516680
11a776a3034
12540116720
132a7215180
1417a8619a0
15d6540770
hex88b44988

2293516680 has 256 divisors, whose sum is σ = 8534937600. Its totient is φ = 480107520.

The previous prime is 2293516601. The next prime is 2293516697. The reversal of 2293516680 is 866153922.

It is a super-2 number, since 2×22935166802 = 10520437522876444800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517125 + ... + 1518635.

It is an arithmetic number, because the mean of its divisors is an integer number (33339600).

Almost surely, 22293516680 is an apocalyptic number.

2293516680 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 2293516680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

2293516680 is an abundant number, since it is smaller than the sum of its proper divisors (6241420920).

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

2293516680 is a wasteful number, since it uses less digits than its factorization.

2293516680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2293516680 is about 47890.6742487512. The cubic root of 2293516680 is about 1318.7646615173.

The spelling of 2293516680 in words is "two billion, two hundred ninety-three million, five hundred sixteen thousand, six hundred eighty".