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2048220 = 223353793
BaseRepresentation
bin111110100000011011100
310212001122000
413310003130
51011020340
6111522300
723260326
oct7640334
93761560
102048220
111179949
12829390
13569385
143b4616
152a6d30
hex1f40dc

2048220 has 48 divisors (see below), whose sum is σ = 6373920. Its totient is φ = 546048.

The previous prime is 2048203. The next prime is 2048231. The reversal of 2048220 is 228402.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2048193 and 2048202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (132790).

22048220 is an apocalyptic number.

2048220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048220 is an abundant number, since it is smaller than the sum of its proper divisors (4325700).

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

2048220 is a wasteful number, since it uses less digits than its factorization.

2048220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2048220 is about 1431.1603683725. The cubic root of 2048220 is about 126.9966312372.

It can be divided in two parts, 20482 and 20, that added together give a palindrome (20502).

The spelling of 2048220 in words is "two million, forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3793 7586 11379 15172 18965 22758 34137 37930 45516 56895 68274 75860 102411 113790 136548 170685 204822 227580 341370 409644 512055 682740 1024110 2048220