Search a number
-
+
230343222000112 = 24135366733131231
BaseRepresentation
bin110100010111111011110101…
…111011000111100111110000
31010012120121010012001221112121
4310113323311323013213300
5220142420404313000422
62133522114303204024
766342514525616464
oct6427736573074760
91105517105057477
10230343222000112
1167438014869051
1221a02086ba6614
139b6b370c81710
1440c49585944a4
151b96b50d058c7
hexd17ef5ec79f0

230343222000112 has 80 divisors (see below), whose sum is σ = 489761833736448. Its totient is φ = 104290700267520.

The previous prime is 230343222000103. The next prime is 230343222000127. The reversal of 230343222000112 is 211000222343032.

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, 71997537 + ... + 75128767.

Almost surely, 2230343222000112 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 230343222000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244880916868224).

230343222000112 is an abundant number, since it is smaller than the sum of its proper divisors (259418611736336).

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

230343222000112 is a wasteful number, since it uses less digits than its factorization.

230343222000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137978 (or 3137972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 230343222000112 its reverse (211000222343032), we get a palindrome (441343444343144).

The spelling of 230343222000112 in words is "two hundred thirty trillion, three hundred forty-three billion, two hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 6673 11024 13346 26692 53384 86749 106768 173498 346996 353669 693992 707338 1387984 1414676 2829352 3131231 4597697 5658704 6262462 9195394 12524924 18390788 25049848 36781576 40706003 50099696 73563152 81412006 162824012 165955243 325648024 331910486 651296048 663820972 1327641944 2157418159 2655283888 4314836318 8629672636 17259345272 20894704463 34518690544 41789408926 83578817852 167157635704 271631158019 334315271408 543262316038 1086524632076 1107419336539 2173049264152 2214838673078 4346098528304 4429677346156 8859354692312 14396451375007 17718709384624 28792902750014 57585805500028 115171611000056 230343222000112