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223235421081120 = 253357193112533317
BaseRepresentation
bin110010110000100000001011…
…111110011000111000100000
31002021102002122022122212211000
4302300200023332120320200
5213224442120244043440
62110440534153552000
765010140560636560
oct6260401376307040
91067362568585730
10223235421081120
1165147679512818
122105462aa15600
139774018928476
143d1a91b256da0
151ac1ceb5e8730
hexcb080bf98e20

223235421081120 has 768 divisors, whose sum is σ = 970259292979200. Its totient is φ = 46780351303680.

The previous prime is 223235421081061. The next prime is 223235421081131. The reversal of 223235421081120 is 21180124532322.

223235421081120 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 542 + 10 + 81 + 1 + 20 = 666.

It is a super-3 number, since 3×2232354210811203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11544702 + ... + 24078018.

It is an arithmetic number, because the mean of its divisors is an integer number (1263358454400).

Almost surely, 2223235421081120 is an apocalyptic number.

223235421081120 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 223235421081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485129646489600).

223235421081120 is an abundant number, since it is smaller than the sum of its proper divisors (747023871898080).

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

223235421081120 is a wasteful number, since it uses less digits than its factorization.

223235421081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533398 (or 12533384 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 223235421081120 in words is "two hundred twenty-three trillion, two hundred thirty-five billion, four hundred twenty-one million, eighty-one thousand, one hundred twenty".