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2233980225 = 32522321372
BaseRepresentation
bin1000010100100111…
…1101010101000001
312202200121221202100
42011021331111001
514033344331400
61005401541013
7106234342611
oct20511752501
95680557670
102233980225
11a47029454
125241a4769
13297a9b1b9
141729a4a41
15d11d0100
hex8527d541

2233980225 has 81 divisors (see below), whose sum is σ = 4213595113. Its totient is φ = 1131335040.

The previous prime is 2233980181. The next prime is 2233980239. The reversal of 2233980225 is 5220893322.

The square root of 2233980225 is 47265.

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

2233980225 is a `hidden beast` number, since 22 + 339 + 80 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6517809 + 2227462416 = 2553^2 + 47196^2 .

It is not a de Polignac number, because 2233980225 - 27 = 2233980097 is a prime.

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 2233980225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16306357 + ... + 16306493.

Almost surely, 22233980225 is an apocalyptic number.

2233980225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2233980225 is the 47265-th square number.

2233980225 is the 23633-rd centered octagonal number.

It is an amenable number.

2233980225 is a deficient number, since it is larger than the sum of its proper divisors (1979614888).

2233980225 is a wasteful number, since it uses less digits than its factorization.

2233980225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 2233980225 is about 1307.2533842630.

Multiplying 2233980225 by its sum of digits (36), we get a square (80423288100 = 2835902).

The spelling of 2233980225 in words is "two billion, two hundred thirty-three million, nine hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 137 207 225 345 411 529 575 685 1035 1233 1587 1725 2055 2645 3151 3425 4761 5175 6165 7935 9453 10275 13225 15755 18769 23805 28359 30825 39675 47265 56307 72473 78775 93845 119025 141795 168921 217419 236325 281535 362365 431687 469225 652257 708975 844605 1087095 1295061 1407675 1811825 2158435 3261285 3885183 4223025 5435475 6475305 9928801 10792175 16306425 19425915 29786403 32376525 49644005 89359209 97129575 148932015 248220025 446796045 744660075 2233980225