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2242034220 = 223559798017
BaseRepresentation
bin1000010110100010…
…1011101000101100
312210020210010202110
42011220223220230
514042430043340
61010250324020
7106362655626
oct20550535054
95706703673
102242034220
11a5062a548
12526a29610
1329965b08a
14173a9dc16
15d1c71680
hex85a2ba2c

2242034220 has 96 divisors (see below), whose sum is σ = 6465715200. Its totient is φ = 580230144.

The previous prime is 2242034213. The next prime is 2242034293. The reversal of 2242034220 is 224302422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275652 + ... + 283668.

It is an arithmetic number, because the mean of its divisors is an integer number (67351200).

Almost surely, 22242034220 is an apocalyptic number.

2242034220 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 2242034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232857600).

2242034220 is an abundant number, since it is smaller than the sum of its proper divisors (4223680980).

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

2242034220 is a wasteful number, since it uses less digits than its factorization.

2242034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2242034220 is about 47350.1237590780. The cubic root of 2242034220 is about 1308.8224797459.

Adding to 2242034220 its reverse (224302422), we get a palindrome (2466336642).

The spelling of 2242034220 in words is "two billion, two hundred forty-two million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 79 118 158 177 236 237 295 316 354 395 474 590 708 790 885 948 1180 1185 1580 1770 2370 3540 4661 4740 8017 9322 13983 16034 18644 23305 24051 27966 32068 40085 46610 48102 55932 69915 80170 93220 96204 120255 139830 160340 240510 279660 473003 481020 633343 946006 1266686 1419009 1892012 1900029 2365015 2533372 2838018 3166715 3800058 4730030 5676036 6333430 7095045 7600116 9460060 9500145 12666860 14190090 19000290 28380180 37367237 38000580 74734474 112101711 149468948 186836185 224203422 373672370 448406844 560508555 747344740 1121017110 2242034220