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220662420 = 223511367911
BaseRepresentation
bin11010010011100…
…00101010010100
3120101012210221020
431021300222110
5422442144140
633521321140
75316412446
oct1511605224
9511183836
10220662420
11103615a40
1261a961b0
13369400a4
1421440496
151458b6d0
hexd270a94

220662420 has 96 divisors (see below), whose sum is σ = 676601856. Its totient is φ = 53289600.

The previous prime is 220662347. The next prime is 220662427. The reversal of 220662420 is 24266022.

220662420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220662427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241765 + ... + 242675.

It is an arithmetic number, because the mean of its divisors is an integer number (7047936).

Almost surely, 2220662420 is an apocalyptic number.

220662420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220662420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338300928).

220662420 is an abundant number, since it is smaller than the sum of its proper divisors (455939436).

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

220662420 is a wasteful number, since it uses less digits than its factorization.

220662420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220662420 is about 14854.7103640562. The cubic root of 220662420 is about 604.2863611497.

The spelling of 220662420 in words is "two hundred twenty million, six hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 367 660 734 911 1101 1468 1822 1835 2202 2733 3644 3670 4037 4404 4555 5466 5505 7340 8074 9110 10021 10932 11010 12111 13665 16148 18220 20042 20185 22020 24222 27330 30063 40084 40370 48444 50105 54660 60126 60555 80740 100210 120252 121110 150315 200420 242220 300630 334337 601260 668674 1003011 1337348 1671685 2006022 3343370 3677707 4012044 5015055 6686740 7355414 10030110 11033121 14710828 18388535 20060220 22066242 36777070 44132484 55165605 73554140 110331210 220662420