Search a number
-
+
230022112212 = 223259265740759
BaseRepresentation
bin1101011000111001100…
…0101110001111010100
3210222201122012000010100
43112032120232033110
512232041130042322
6253400512054100
722422106456644
oct3261630561724
9728648160110
10230022112212
1189608538492
12386b5b34330
13188ca156c09
14b1c1444524
155eb3eb9dac
hex358e62e3d4

230022112212 has 72 divisors (see below), whose sum is σ = 591536836800. Its totient is φ = 75344260608.

The previous prime is 230022112193. The next prime is 230022112249. The reversal of 230022112212 is 212211220032.

230022112212 is a `hidden beast` number, since 230 + 0 + 2 + 211 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5623089 + ... + 5663847.

It is an arithmetic number, because the mean of its divisors is an integer number (8215789400).

Almost surely, 2230022112212 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 230022112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295768418400).

230022112212 is an abundant number, since it is smaller than the sum of its proper divisors (361514724588).

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

230022112212 is a wasteful number, since it uses less digits than its factorization.

230022112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43485 (or 43480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230022112212 its reverse (212211220032), we get a palindrome (442233332244).

The spelling of 230022112212 in words is "two hundred thirty billion, twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2657 5314 7971 10628 15942 23913 31884 40759 47826 81518 95652 122277 156763 163036 244554 313526 366831 470289 489108 627052 733662 940578 1410867 1467324 1881156 2404781 2821734 4809562 5643468 7214343 9619124 14428686 21643029 28857372 43286058 86572116 108296663 216593326 324889989 433186652 649779978 974669967 1299559956 1949339934 3898679868 6389503117 12779006234 19168509351 25558012468 38337018702 57505528053 76674037404 115011056106 230022112212