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223701133104 = 243429311011901
BaseRepresentation
bin1101000001010110100…
…0000110011100110000
3210101102010010222220000
43100111220012130300
512131114442224404
6250433351350000
722106344154301
oct3202550063460
9711363128800
10223701133104
1186964504309
1237431082300
13181307263a7
14ab81b607a8
155c440cc339
hex3415a06730

223701133104 has 400 divisors, whose sum is σ = 698600643840. Its totient is φ = 68947200000.

The previous prime is 223701133099. The next prime is 223701133121. The reversal of 223701133104 is 401331107322.

It is a happy number.

223701133104 is a `hidden beast` number, since 2 + 237 + 0 + 113 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 117674554 + ... + 117676454.

Almost surely, 2223701133104 is an apocalyptic number.

223701133104 is a gapful number since it is divisible by the number (24) 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 223701133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349300321920).

223701133104 is an abundant number, since it is smaller than the sum of its proper divisors (474899510736).

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

223701133104 is a wasteful number, since it uses less digits than its factorization.

223701133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 223701133104 in words is "two hundred twenty-three billion, seven hundred one million, one hundred thirty-three thousand, one hundred four".