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2272100 = 225222721
BaseRepresentation
bin1000101010101101100100
311021102201212
420222231210
51040201400
6120410552
725212125
oct10525544
94242655
102272100
111312076
12916a58
1361724c
1443204c
152ed335
hex22ab64

2272100 has 18 divisors (see below), whose sum is σ = 4930674. Its totient is φ = 908800.

The previous prime is 2272087. The next prime is 2272103. The reversal of 2272100 is 12722.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 2184484 = 296^2 + 1478^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2272103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11261 + ... + 11460.

22272100 is an apocalyptic number.

2272100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272100 is an abundant number, since it is smaller than the sum of its proper divisors (2658574).

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

2272100 is a wasteful number, since it uses less digits than its factorization.

2272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22735 (or 22728 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2272100 is about 1507.3486657041. The cubic root of 2272100 is about 131.4646977384.

Adding to 2272100 its reverse (12722), we get a palindrome (2284822).

The spelling of 2272100 in words is "two million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22721 45442 90884 113605 227210 454420 568025 1136050 2272100