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2204412032 = 271729181193
BaseRepresentation
bin1000001101100100…
…1010100010000000
312200121222201211002
42003121022202000
514003312141112
61002424111132
7105425123144
oct20331124200
95617881732
102204412032
11a31373429
125163054a8
13291917924
1416caa9224
15cd7de1c2
hex8364a880

2204412032 has 128 divisors (see below), whose sum is σ = 4861911600. Its totient is φ = 990904320.

The previous prime is 2204412031. The next prime is 2204412043. The reversal of 2204412032 is 2302144022.

It can be written as a sum of positive squares in 8 ways, for example, as 451817536 + 1752594496 = 21256^2 + 41864^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2204411995 and 2204412013.

It is not an unprimeable number, because it can be changed into a prime (2204412031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11421728 + ... + 11421920.

Almost surely, 22204412032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430955800).

2204412032 is an abundant number, since it is smaller than the sum of its proper divisors (2657499568).

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

2204412032 is a wasteful number, since it uses less digits than its factorization.

2204412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2204412032 is about 46951.1664604832. The cubic root of 2204412032 is about 1301.4602982739.

Adding to 2204412032 its reverse (2302144022), we get a palindrome (4506556054).

The spelling of 2204412032 in words is "two billion, two hundred four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 181 193 232 272 362 386 464 493 544 724 772 928 986 1088 1448 1544 1856 1972 2176 2896 3077 3088 3281 3712 3944 5249 5597 5792 6154 6176 6562 7888 10498 11194 11584 12308 12352 13124 15776 20996 22388 23168 24616 24704 26248 31552 34933 41992 44776 49232 52496 63104 69866 83984 89233 89552 95149 98464 104992 139732 167968 178466 179104 190298 196928 209984 279464 335936 356932 358208 380596 393856 419968 558928 593861 671872 713864 716416 761192 1013057 1117856 1187722 1427728 1522384 2026114 2235712 2375444 2855456 3044768 4052228 4471424 4750888 5710912 6089536 8104456 9501776 11421824 12179072 16208912 17221969 19003552 32417824 34443938 38007104 64835648 68887876 76014208 129671296 137775752 275551504 551103008 1102206016 2204412032