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2292268672576 = 261892532
BaseRepresentation
bin100001010110110101110…
…111000010011001000000
322010010202010220202022001
4201112311313002121000
5300024031240010301
64513015332553344
7324416361142261
oct41266567023100
98103663822261
102292268672576
118041669a7393
12310310182854
131382106cc70c
147cd36ca4968
153e961a62c01
hex215b5dc2640

2292268672576 has 21 divisors (see below), whose sum is σ = 4548744682401. Its totient is φ = 1146128280192.

The previous prime is 2292268672559. The next prime is 2292268672591. The reversal of 2292268672576 is 6752768622922.

The square root of 2292268672576 is 1514024.

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., 2207601640000 + 84667032576 = 1485800^2 + 290976^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 12017566 + ... + 12206818.

Almost surely, 22292268672576 is an apocalyptic number.

2292268672576 is the 1514024-th square number.

It is an amenable number.

2292268672576 is a deficient number, since it is larger than the sum of its proper divisors (2256476009825).

2292268672576 is an frugal number, since it uses more digits than its factorization.

2292268672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378518 (or 189255 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 2292268672576 by its sum of digits (64), we get a square (146705195044864 = 121121922).

2292268672576 divided by its sum of digits (64) gives a square (35816698009 = 1892532).

The spelling of 2292268672576 in words is "two trillion, two hundred ninety-two billion, two hundred sixty-eight million, six hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 189253 378506 757012 1514024 3028048 6056096 12112192 35816698009 71633396018 143266792036 286533584072 573067168144 1146134336288 2292268672576