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2264787252 = 22327213271107
BaseRepresentation
bin1000011011111101…
…1110100100110100
312211211121010001100
42012333132210310
514114241143002
61012422130100
7110060242200
oct20677364464
95754533040
102264787252
11a62460202
12532580930
132a1296600
14176b03b00
15d3c6811c
hex86fde934

2264787252 has 324 divisors, whose sum is σ = 7381142496. Its totient is φ = 583390080.

The previous prime is 2264787229. The next prime is 2264787341. The reversal of 2264787252 is 2527874622.

It is a super-2 number, since 2×22647872522 = 10258522593643423008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264787198 and 2264787207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21166183 + ... + 21166289.

It is an arithmetic number, because the mean of its divisors is an integer number (22781304).

Almost surely, 22264787252 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 2264787252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690571248).

2264787252 is an abundant number, since it is smaller than the sum of its proper divisors (5116355244).

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

2264787252 is a wasteful number, since it uses less digits than its factorization.

2264787252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2264787252 is about 47589.7809618830. The cubic root of 2264787252 is about 1313.2350655830.

The spelling of 2264787252 in words is "two billion, two hundred sixty-four million, seven hundred eighty-seven thousand, two hundred fifty-two".