Search a number
-
+
382222020312 = 233211243873051
BaseRepresentation
bin1011000111111100011…
…01010010111011011000
31100112120201011102120200
411203332031102323120
522230242314122222
6451331304222200
736420550365306
oct5437615227330
91315521142520
10382222020312
11138110403100
12620b146a960
132a074404c32
14146dd04b276
159e20c98eac
hex58fe352ed8

382222020312 has 72 divisors (see below), whose sum is σ = 1137847603620. Its totient is φ = 115824852000.

The previous prime is 382222020311. The next prime is 382222020337. The reversal of 382222020312 is 213020222283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3822220203122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382222020311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21927814 + ... + 21945237.

Almost surely, 2382222020312 is an apocalyptic number.

It is an amenable number.

382222020312 is an abundant number, since it is smaller than the sum of its proper divisors (755625583308).

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

382222020312 is a wasteful number, since it uses less digits than its factorization.

382222020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43873085 (or 43873067 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 382222020312 its reverse (213020222283), we get a palindrome (595242242595).

The spelling of 382222020312 in words is "three hundred eighty-two billion, two hundred twenty-two million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 43873051 87746102 131619153 175492204 263238306 350984408 394857459 482603561 526476612 789714918 965207122 1052953224 1447810683 1579429836 1930414244 2895621366 3158859672 3860828488 4343432049 5308639171 5791242732 8686864098 10617278342 11582485464 15925917513 17373728196 21234556684 31851835026 34747456392 42469113368 47777752539 63703670052 95555505078 127407340104 191111010156 382222020312