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3432202225 = 52117172
BaseRepresentation
bin1100110010010011…
…0011111111110001
322212012021221022221
43030210303333301
524012120432400
61324324001041
7151024144324
oct31444637761
98765257287
103432202225
111501430371
127b9530181
134290bc2ba
14247b907bb
151514b8c1a
hexcc933ff1

3432202225 has 9 divisors (see below), whose sum is σ = 4256294017. Its totient is φ = 2745527440.

The previous prime is 3432202201. The next prime is 3432202259. The reversal of 3432202225 is 5222022343.

It is a happy number.

The square root of 3432202225 is 58585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1977847729 + 1454354496 = 44473^2 + 38136^2 .

It is not a de Polignac number, because 3432202225 - 29 = 3432201713 is a prime.

It is a super-3 number, since 3×34322022253 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 3432202225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287067 + ... + 298783.

Almost surely, 23432202225 is an apocalyptic number.

3432202225 is the 58585-th square number.

3432202225 is the 29293-rd centered octagonal number.

It is an amenable number.

3432202225 is a deficient number, since it is larger than the sum of its proper divisors (824091792).

3432202225 is an frugal number, since it uses more digits than its factorization.

3432202225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23444 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The cubic root of 3432202225 is about 1508.4269724704.

Multiplying 3432202225 by its sum of digits (25), we get a square (85805055625 = 2929252).

3432202225 divided by its sum of digits (25) gives a square (137288089 = 117172).

Adding to 3432202225 its reverse (5222022343), we get a palindrome (8654224568).

The spelling of 3432202225 in words is "three billion, four hundred thirty-two million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 11717 58585 292925 137288089 686440445 3432202225