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2205072 = 243215313
BaseRepresentation
bin1000011010010110010000
311011000210100
420122112100
51031030242
6115132400
724512532
oct10322620
94130710
102205072
111276781
128a4100
135c289c
14415852
152d854c
hex21a590

2205072 has 30 divisors (see below), whose sum is σ = 6171542. Its totient is φ = 734976.

The previous prime is 2205067. The next prime is 2205107. The reversal of 2205072 is 2705022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 1089936 = 1056^2 + 1044^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7513 + ... + 7800.

22205072 is an apocalyptic number.

It is an amenable number.

2205072 is an abundant number, since it is smaller than the sum of its proper divisors (3966470).

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

2205072 is a wasteful number, since it uses less digits than its factorization.

2205072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2205072 is about 1484.9484839549. The cubic root of 2205072 is about 130.1590164566.

It can be divided in two parts, 22050 and 72, that multiplied together give a square (1587600 = 12602).

The spelling of 2205072 in words is "two million, two hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15313 30626 45939 61252 91878 122504 137817 183756 245008 275634 367512 551268 735024 1102536 2205072