Search a number
-
+
222130002312000 = 26325337734632467
BaseRepresentation
bin110010100000011010101011…
…111000011011101101000000
31002010111102100210020010021200
4302200122223320123231000
5213103334221042441000
62104233040405221200
764534235350301406
oct6240325370335500
91063442323203250
10222130002312000
116486089442a342
1220ab6348401800
1396c3a0030ac43
143cbd21423d476
151aa31a0071500
hexca06abe1bb40

222130002312000 has 1344 divisors, whose sum is σ = 829373441055744. Its totient is φ = 56698461388800.

The previous prime is 222130002311983. The next prime is 222130002312067. The reversal of 222130002312000 is 213200031222.

222130002312000 is a `hidden beast` number, since 2 + 221 + 300 + 0 + 23 + 120 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 90040534767 + ... + 90040537233.

Almost surely, 2222130002312000 is an apocalyptic number.

222130002312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222130002312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414686720527872).

222130002312000 is an abundant number, since it is smaller than the sum of its proper divisors (607243438743744).

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

222130002312000 is a wasteful number, since it uses less digits than its factorization.

222130002312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222130002312000 its reverse (213200031222), we get a palindrome (222343202343222).

The spelling of 222130002312000 in words is "two hundred twenty-two trillion, one hundred thirty billion, two million, three hundred twelve thousand".