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2266529792 = 2152632
BaseRepresentation
bin1000011100011000…
…1000000000000000
312211221212122100212
42013012020000000
514120212423132
61012523333252
7110111120402
oct20706100000
95757778325
102266529792
11a6344041a
12533081228
132a17567b7
14177038b72
15d3eae5b2
hex87188000

2266529792 has 48 divisors (see below), whose sum is σ = 4550291655. Its totient is φ = 1128955904.

The previous prime is 2266529773. The next prime is 2266529809. The reversal of 2266529792 is 2979256622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1133264896 + 1133264896 = 33664^2 + 33664^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33664.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2266529792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8617853 + ... + 8618115.

Almost surely, 22266529792 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 2266529792

2266529792 is an abundant number, since it is smaller than the sum of its proper divisors (2283761863).

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

2266529792 is an frugal number, since it uses more digits than its factorization.

2266529792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 265 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

The square root of 2266529792 is about 47608.0853637279. The cubic root of 2266529792 is about 1313.5717827127.

Multiplying 2266529792 by its sum of digits (50), we get a square (113326489600 = 3366402).

The spelling of 2266529792 in words is "two billion, two hundred sixty-six million, five hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 263 512 526 1024 1052 2048 2104 4096 4208 8192 8416 16384 16832 32768 33664 67328 69169 134656 138338 269312 276676 538624 553352 1077248 1106704 2154496 2213408 4308992 4426816 8617984 8853632 17707264 35414528 70829056 141658112 283316224 566632448 1133264896 2266529792