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2220925 = 527437
BaseRepresentation
bin1000011110001101111101
311011211112111
420132031331
51032032200
6115334021
724610000
oct10361575
94154474
102220925
111287683
128b1311
135c9b75
1441b537
152dd0ba
hex21e37d

2220925 has 30 divisors (see below), whose sum is σ = 3299578. Its totient is φ = 1481760.

The previous prime is 2220923. The next prime is 2220941. The reversal of 2220925 is 5290222.

It can be written as a sum of positive squares in 3 ways, for example, as 470596 + 1750329 = 686^2 + 1323^2 .

It is not a de Polignac number, because 2220925 - 21 = 2220923 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2220896 and 2220905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60007 + ... + 60043.

22220925 is an apocalyptic number.

2220925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2220925 is a deficient number, since it is larger than the sum of its proper divisors (1078653).

2220925 is an frugal number, since it uses more digits than its factorization.

2220925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2220925 is about 1490.2768199231. The cubic root of 2220925 is about 130.4701908299.

The spelling of 2220925 in words is "two million, two hundred twenty thousand, nine hundred twenty-five".

Divisors: 1 5 7 25 35 37 49 175 185 245 259 343 925 1225 1295 1715 1813 2401 6475 8575 9065 12005 12691 45325 60025 63455 88837 317275 444185 2220925