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223100240240000 = 275443257409617
BaseRepresentation
bin110010101110100010010010…
…100100011001110110000000
31002020221011201100001122020202
4302232202102210121312000
5213220233243000140000
62110254500243224332
764664313634514264
oct6256422244316600
91066834640048222
10223100240240000
11650a530a44a012
12210323a30780a8
1397643545b8396
143d14175a940a4
151abd538a0add5
hexcae892919d80

223100240240000 has 640 divisors, whose sum is σ = 572843419552800. Its totient is φ = 86472916992000.

The previous prime is 223100240239967. The next prime is 223100240240039. The reversal of 223100240240000 is 42042001322.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×2231002402400003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 361588719692 + ... + 361588720308.

Almost surely, 2223100240240000 is an apocalyptic number.

223100240240000 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 223100240240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286421709776400).

223100240240000 is an abundant number, since it is smaller than the sum of its proper divisors (349743179312800).

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

223100240240000 is an equidigital number, since it uses as much as digits as its factorization.

223100240240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 223100240240000 its reverse (42042001322), we get a palindrome (223142282241322).

The spelling of 223100240240000 in words is "two hundred twenty-three trillion, one hundred billion, two hundred forty million, two hundred forty thousand".