Search a number
-
+
2212213113312 = 253171355522741
BaseRepresentation
bin100000001100010010001…
…011010100000111100000
321211111002221020222022120
4200030102023110013200
5242221103024111222
64412135432304240
7315553463130306
oct40142213240740
97744087228276
102212213113312
117832156a2864
122b88a9842080
131307c2c13cc7
14791009c6276
153c82876c15c
hex203122d41e0

2212213113312 has 48 divisors (see below), whose sum is σ = 6148651157712. Its totient is φ = 694027642880.

The previous prime is 2212213113289. The next prime is 2212213113349. The reversal of 2212213113312 is 2133113122122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677759739 + ... + 677763002.

It is an arithmetic number, because the mean of its divisors is an integer number (128096899119).

Almost surely, 22212213113312 is an apocalyptic number.

It is an amenable number.

2212213113312 is an abundant number, since it is smaller than the sum of its proper divisors (3936438044400).

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

2212213113312 is a wasteful number, since it uses less digits than its factorization.

2212213113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355522771 (or 1355522763 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 2212213113312 its reverse (2133113122122), we get a palindrome (4345326235434).

The spelling of 2212213113312 in words is "two trillion, two hundred twelve billion, two hundred thirteen million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1355522741 2711045482 4066568223 5422090964 8133136446 10844181928 16266272892 21688363856 23043886597 32532545784 43376727712 46087773194 65065091568 69131659791 92175546388 130130183136 138263319582 184351092776 276526639164 368702185552 553053278328 737404371104 1106106556656 2212213113312