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2204408020 = 2251737917107
BaseRepresentation
bin1000001101100100…
…1001100011010100
312200121222112022111
42003121021203110
514003312024040
61002424040404
7105425105353
oct20331114324
95617875274
102204408020
11a31370411
12516303104
13291915b59
1416caa799a
15cd7dcdea
hex836498d4

2204408020 has 48 divisors (see below), whose sum is σ = 4914786240. Its totient is φ = 827656704.

The previous prime is 2204407999. The next prime is 2204408027. The reversal of 2204408020 is 208044022.

It is a junction number, because it is equal to n+sod(n) for n = 2204407982 and 2204408000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204408027) 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 15 ways as a sum of consecutive naturals, for example, 120307 + ... + 137413.

It is an arithmetic number, because the mean of its divisors is an integer number (102391380).

Almost surely, 22204408020 is an apocalyptic number.

2204408020 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 2204408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457393120).

2204408020 is an abundant number, since it is smaller than the sum of its proper divisors (2710378220).

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

2204408020 is a wasteful number, since it uses less digits than its factorization.

2204408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2204408020 is about 46951.1237352207. The cubic root of 2204408020 is about 1301.4595087268.

The spelling of 2204408020 in words is "two billion, two hundred four million, four hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 379 758 1516 1895 3790 6443 7580 12886 17107 25772 32215 34214 64430 68428 85535 128860 171070 290819 342140 581638 1163276 1454095 2908190 5816380 6483553 12967106 25934212 32417765 64835530 110220401 129671060 220440802 440881604 551102005 1102204010 2204408020