Search a number
-
+
222130311102 = 232773191227557
BaseRepresentation
bin1100111011011111111…
…1111000111110111110
3210020100122100222012100
43032313333320332332
512114410324423402
6250013435245530
722022411330310
oct3166777707676
9706318328170
10222130311102
1186228851507
1237072ba98a6
1317c4016840b
14aa732a37b0
155ba124371c
hex33b7ff8fbe

222130311102 has 192 divisors, whose sum is σ = 563970760704. Its totient is φ = 61883066880.

The previous prime is 222130311097. The next prime is 222130311119. The reversal of 222130311102 is 201113031222.

222130311102 is a `hidden beast` number, since 2 + 221 + 30 + 311 + 102 = 666.

It is a super-2 number, since 2×2221303111022 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398797408 + ... + 398797964.

It is an arithmetic number, because the mean of its divisors is an integer number (2937347712).

Almost surely, 2222130311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222130311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281985380352).

222130311102 is an abundant number, since it is smaller than the sum of its proper divisors (341840449602).

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

222130311102 is a wasteful number, since it uses less digits than its factorization.

222130311102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 222130311102 its reverse (201113031222), we get a palindrome (423243342324).

The spelling of 222130311102 in words is "two hundred twenty-two billion, one hundred thirty million, three hundred eleven thousand, one hundred two".