Search a number
-
+
2212202414232 = 233297433731531
BaseRepresentation
bin100000001100010001100…
…010100000000010011000
321211111002012010101221100
4200030101202200002120
5242221042304223412
64412134411111400
7315553303156536
oct40142142400230
97744065111840
102212202414232
1178320a655448
122b88a6142560
131307c09391a5
14790dd3dd156
153c827856edc
hex203118a0098

2212202414232 has 96 divisors (see below), whose sum is σ = 6067136209680. Its totient is φ = 728112291840.

The previous prime is 2212202414183. The next prime is 2212202414273. The reversal of 2212202414232 is 2324142022122.

2212202414232 is a `hidden beast` number, since 2 + 2 + 1 + 220 + 2 + 414 + 23 + 2 = 666.

It is a super-2 number, since 2×22122024142322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212202414196 and 2212202414205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2658307 + ... + 3389837.

Almost surely, 22212202414232 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 2212202414232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033568104840).

2212202414232 is an abundant number, since it is smaller than the sum of its proper divisors (3854933795448).

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

2212202414232 is a wasteful number, since it uses less digits than its factorization.

2212202414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732073 (or 732066 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2212202414232 its reverse (2324142022122), we get a palindrome (4536344436354).

The spelling of 2212202414232 in words is "two trillion, two hundred twelve billion, two hundred two million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 433 582 776 866 873 1164 1299 1732 1746 2328 2598 3464 3492 3897 5196 6984 7794 10392 15588 31176 42001 84002 126003 168004 252006 336008 378009 504012 731531 756018 1008024 1463062 1512036 2194593 2926124 3024072 4389186 5852248 6583779 8778372 13167558 17556744 26335116 52670232 70958507 141917014 212875521 283834028 316752923 425751042 567668056 633505846 638626563 851502084 950258769 1267011692 1277253126 1703004168 1900517538 2534023384 2554506252 2850776307 3801035076 5109012504 5701552614 7602070152 11403105228 22806210456 30725033531 61450067062 92175100593 122900134124 184350201186 245800268248 276525301779 368700402372 553050603558 737400804744 1106101207116 2212202414232