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2204410020 = 22351916711579
BaseRepresentation
bin1000001101100100…
…1010000010100100
312200121222122001120
42003121022002210
514003312110040
61002424053540
7105425114241
oct20331120244
95617878046
102204410020
11a3137196a
125163042b0
13291916a37
1416caa85c8
15cd7dd7d0
hex8364a0a4

2204410020 has 96 divisors (see below), whose sum is σ = 6536678400. Its totient is φ = 553521024.

The previous prime is 2204409983. The next prime is 2204410037. The reversal of 2204410020 is 200144022.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 184591 + ... + 196169.

It is an arithmetic number, because the mean of its divisors is an integer number (68090400).

Almost surely, 22204410020 is an apocalyptic number.

2204410020 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 2204410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268339200).

2204410020 is an abundant number, since it is smaller than the sum of its proper divisors (4332268380).

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

2204410020 is a wasteful number, since it uses less digits than its factorization.

2204410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2204410020 is about 46951.1450339606. The cubic root of 2204410020 is about 1301.4599023197.

Adding to 2204410020 its reverse (200144022), we get a palindrome (2404554042).

The spelling of 2204410020 in words is "two billion, two hundred four million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 167 190 228 285 334 380 501 570 668 835 1002 1140 1670 2004 2505 3173 3340 5010 6346 9519 10020 11579 12692 15865 19038 23158 31730 34737 38076 46316 47595 57895 63460 69474 95190 115790 138948 173685 190380 220001 231580 347370 440002 660003 694740 880004 1100005 1320006 1933693 2200010 2640012 3300015 3867386 4400020 5801079 6600030 7734772 9668465 11602158 13200060 19336930 23204316 29005395 36740167 38673860 58010790 73480334 110220501 116021580 146960668 183700835 220441002 367401670 440882004 551102505 734803340 1102205010 2204410020