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2263222500 = 223547113919
BaseRepresentation
bin1000011011100110…
…0000100011100100
312211201122121121120
42012321200203210
514113341110000
61012324413540
7110041034220
oct20671404344
95751577546
102263222500
11a61591620
12531b472b0
132a0b69316
14176817780
15d3a596a0
hex86e608e4

2263222500 has 240 divisors, whose sum is σ = 8229365760. Its totient is φ = 470160000.

The previous prime is 2263222499. The next prime is 2263222513. The reversal of 2263222500 is 52223622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 575541 + ... + 579459.

It is an arithmetic number, because the mean of its divisors is an integer number (34289024).

Almost surely, 22263222500 is an apocalyptic number.

2263222500 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 2263222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114682880).

2263222500 is an abundant number, since it is smaller than the sum of its proper divisors (5966143260).

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

2263222500 is a wasteful number, since it uses less digits than its factorization.

2263222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2263222500 is about 47573.3381212628. The cubic root of 2263222500 is about 1312.9325558412.

It can be divided in two parts, 226322 and 2500, that added together give a palindrome (228822).

The spelling of 2263222500 in words is "two billion, two hundred sixty-three million, two hundred twenty-two thousand, five hundred".