Search a number
-
+
2221321133552 = 241973346128921
BaseRepresentation
bin100000010100110001000…
…011101001110111110000
321212100121200121100020112
4200110301003221313300
5242343231202233202
64420243313000452
7316325260046213
oct40246103516760
97770550540215
102221321133552
11787069963214
122ba60bb53128
13131614b854b1
14797264b977a
153cbad184b52
hex205310e9df0

2221321133552 has 80 divisors (see below), whose sum is σ = 4593870988320. Its totient is φ = 1037455257600.

The previous prime is 2221321133513. The next prime is 2221321133569. The reversal of 2221321133552 is 2553311231222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76792052 + ... + 76820972.

It is an arithmetic number, because the mean of its divisors is an integer number (57423387354).

Almost surely, 22221321133552 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 2221321133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296935494160).

2221321133552 is an abundant number, since it is smaller than the sum of its proper divisors (2372549854768).

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

2221321133552 is a wasteful number, since it uses less digits than its factorization.

2221321133552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32482 (or 32476 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 2221321133552 its reverse (2553311231222), we get a palindrome (4774632364774).

The spelling of 2221321133552 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 1168 1387 2774 3461 5548 6922 11096 13844 22192 27688 28921 55376 57842 65759 115684 131518 231368 252653 263036 462736 505306 526072 549499 1010612 1052144 1098998 2021224 2111233 2197996 4042448 4222466 4395992 4800407 8444932 8791984 9600814 16889864 19201628 33779728 38403256 40113427 76806512 80226854 100095581 160453708 200191162 320907416 400382324 641814832 800764648 1601529296 1901816039 3803632078 7306977413 7607264156 14613954826 15214528312 29227909652 30429056624 58455819304 116911638608 138832570847 277665141694 555330283388 1110660566776 2221321133552