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223231002000000 = 2735667555301
BaseRepresentation
bin110010110000011100000100…
…100100111011101010000000
31002021101200020100101022010220
4302300130010210323222000
5213224404043003000000
62110434523453423040
765006623221240261
oct6260340444735200
91067350210338126
10223231002000000
1165145811010765
12210537b6a9aa80
139773793244377
143d1a61c3b2968
151ac1b3d6911a0
hexcb070493ba80

223231002000000 has 448 divisors, whose sum is σ = 752251049188320. Its totient is φ = 58639680000000.

The previous prime is 223231001999977. The next prime is 223231002000023. The reversal of 223231002000000 is 200132322.

It is an interprime number because it is at equal distance from previous prime (223231001999977) and next prime (223231002000023).

It is a super-3 number, since 3×2232310020000003 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 401722350 + ... + 402277650.

Almost surely, 2223231002000000 is an apocalyptic number.

223231002000000 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 223231002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376125524594160).

223231002000000 is an abundant number, since it is smaller than the sum of its proper divisors (529020047188320).

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

223231002000000 is an frugal number, since it uses more digits than its factorization.

223231002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555415 (or 555378 counting only the distinct ones).

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

Adding to 223231002000000 its reverse (200132322), we get a palindrome (223231202132322).

The spelling of 223231002000000 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, two million", and thus it is an aban number.