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20245200 = 2435216871
BaseRepresentation
bin100110100111…
…0101011010000
31102002120012020
41031032223100
520140321300
62001531440
7334036623
oct115165320
942076166
1020245200
1110478578
126943b80
13426ac11
14298ddba
151b9d8a0
hex134ead0

20245200 has 60 divisors (see below), whose sum is σ = 64855968. Its totient is φ = 5398400.

The previous prime is 20245187. The next prime is 20245213. The reversal of 20245200 is 254202.

It is an interprime number because it is at equal distance from previous prime (20245187) and next prime (20245213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20245200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7236 + ... + 9635.

Almost surely, 220245200 is an apocalyptic number.

20245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20245200 is an abundant number, since it is smaller than the sum of its proper divisors (44610768).

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

20245200 is a wasteful number, since it uses less digits than its factorization.

20245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16892 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 20245200 is about 4499.4666350580. The cubic root of 20245200 is about 272.5465509789.

Adding to 20245200 its reverse (254202), we get a palindrome (20499402).

The spelling of 20245200 in words is "twenty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16871 33742 50613 67484 84355 101226 134968 168710 202452 253065 269936 337420 404904 421775 506130 674840 809808 843550 1012260 1265325 1349680 1687100 2024520 2530650 3374200 4049040 5061300 6748400 10122600 20245200