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220503400 = 23521384809
BaseRepresentation
bin11010010010010…
…01110101101000
3120100220201210121
431021021311220
5422422102100
633514053024
75315151025
oct1511116550
9510821717
10220503400
11103517517
1261a1a174
13368b58b0
14213dc54c
151455951a
hexd249d68

220503400 has 48 divisors (see below), whose sum is σ = 552113100. Its totient is φ = 81415680.

The previous prime is 220503397. The next prime is 220503427. The reversal of 220503400 is 4305022.

220503400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9498724 + 211004676 = 3082^2 + 14526^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39805 + ... + 45004.

Almost surely, 2220503400 is an apocalyptic number.

220503400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220503400 is an abundant number, since it is smaller than the sum of its proper divisors (331609700).

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

220503400 is a wasteful number, since it uses less digits than its factorization.

220503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84838 (or 84829 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 220503400 is about 14849.3568884312. The cubic root of 220503400 is about 604.1411669512.

Adding to 220503400 its reverse (4305022), we get a palindrome (224808422).

The spelling of 220503400 in words is "two hundred twenty million, five hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 84809 169618 339236 424045 678472 848090 1102517 1696180 2120225 2205034 3392360 4240450 4410068 5512585 8480900 8820136 11025170 16961800 22050340 27562925 44100680 55125850 110251700 220503400