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2264237056 = 21014872
BaseRepresentation
bin1000011011110101…
…1000010000000000
312211210120011022201
42012331120100000
514114121041211
61012402242544
7110052461134
oct20675302000
95753504281
102264237056
11a621148a4
12532356454
132a1133053
141769dd3c4
15d3baa0c1
hex86f58400

2264237056 has 33 divisors (see below), whose sum is σ = 4529308879. Its totient is φ = 1131357184.

The previous prime is 2264236999. The next prime is 2264237069. The reversal of 2264237056 is 6507324622.

The square root of 2264237056 is 47584.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 1521945 + ... + 1523431.

Almost surely, 22264237056 is an apocalyptic number.

2264237056 is the 47584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264237056

2264237056 is an abundant number, since it is smaller than the sum of its proper divisors (2265071823).

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

2264237056 is an frugal number, since it uses more digits than its factorization.

2264237056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The cubic root of 2264237056 is about 1313.1287134011.

The spelling of 2264237056 in words is "two billion, two hundred sixty-four million, two hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1487 2974 5948 11896 23792 47584 95168 190336 380672 761344 1522688 2211169 4422338 8844676 17689352 35378704 70757408 141514816 283029632 566059264 1132118528 2264237056