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2232373504 = 2829532
BaseRepresentation
bin1000010100001111…
…0101000100000000
312202120121022202011
42011003311010000
514032441423004
61005303302304
7106214601364
oct20503650400
95676538664
102232373504
11a46131289
1252374a994
13297657a8a
141726a72a4
15d0eb4004
hex850f5100

2232373504 has 27 divisors (see below), whose sum is σ = 4457536293. Its totient is φ = 1115808768.

The previous prime is 2232373471. The next prime is 2232373531. The reversal of 2232373504 is 4053732322.

It is a happy number.

The square root of 2232373504 is 47248.

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

It can be written as a sum of positive squares in only one way, i.e., 1818169600 + 414203904 = 42640^2 + 20352^2 .

It is a super-3 number, since 3×22323735043 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 754492 + ... + 757444.

Almost surely, 22232373504 is an apocalyptic number.

2232373504 is the 47248-th square number.

It is an amenable number.

2232373504 is a deficient number, since it is larger than the sum of its proper divisors (2225162789).

2232373504 is an frugal number, since it uses more digits than its factorization.

2232373504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 31.

The cubic root of 2232373504 is about 1306.9399086124.

The spelling of 2232373504 in words is "two billion, two hundred thirty-two million, three hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 2953 5906 11812 23624 47248 94496 188992 377984 755968 8720209 17440418 34880836 69761672 139523344 279046688 558093376 1116186752 2232373504