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22310000223000 = 2335372372591879
BaseRepresentation
bin1010001001010011100111…
…01000110110001100011000
32220222211000021102100101120
411010221303220312030120
510411011340024114000
6115241023403445240
74461562413653400
oct504516350661430
986884007370346
1022310000223000
117121688561726
1226039b1b26820
13c5aa93411809
14571b4a02d800
1528a5034266a0
hex144a73a36318

22310000223000 has 1152 divisors, whose sum is σ = 84674745792000. Its totient is φ = 4874915404800.

The previous prime is 22310000222999. The next prime is 22310000223011. The reversal of 22310000223000 is 32200001322.

It is a super-3 number, since 3×223100002230003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11873336061 + ... + 11873337939.

It is an arithmetic number, because the mean of its divisors is an integer number (73502383500).

Almost surely, 222310000223000 is an apocalyptic number.

22310000223000 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 22310000223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42337372896000).

22310000223000 is an abundant number, since it is smaller than the sum of its proper divisors (62364745569000).

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

22310000223000 is a wasteful number, since it uses less digits than its factorization.

22310000223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22310000223000 its reverse (32200001322), we get a palindrome (22342200224322).

The spelling of 22310000223000 in words is "twenty-two trillion, three hundred ten billion, two hundred twenty-three thousand".