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2263067352 = 233274131953
BaseRepresentation
bin1000011011100011…
…1010101011011000
312211201100201210100
42012320322223120
514113321123402
61012321215400
7110036520000
oct20670725330
95751321710
102263067352
11a61495aa7
12531a91560
132a0b13810
141767b7000
15d3a2871c
hex86e3aad8

2263067352 has 480 divisors, whose sum is σ = 8258468400. Its totient is φ = 554770944.

The previous prime is 2263067321. The next prime is 2263067357. The reversal of 2263067352 is 2537603622.

It is a happy number.

2263067352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263067357) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42699358 + ... + 42699410.

Almost surely, 22263067352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263067352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129234200).

2263067352 is an abundant number, since it is smaller than the sum of its proper divisors (5995401048).

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

2263067352 is a wasteful number, since it uses less digits than its factorization.

2263067352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2263067352 is about 47571.7074740859. The cubic root of 2263067352 is about 1312.9025538543.

The spelling of 2263067352 in words is "two billion, two hundred sixty-three million, sixty-seven thousand, three hundred fifty-two".