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220223310000 = 2435427726501
BaseRepresentation
bin1100110100011001010…
…1010000100010110000
3210001102202000021110220
43031012111100202300
512102004131410000
6245100313453040
721624224151321
oct3150625204260
9701382007426
10220223310000
118543a354341
1236820411180
13179c8052cb5
14a931cd6448
155addb011a0
hex33465508b0

220223310000 has 200 divisors, whose sum is σ = 713503593264. Its totient is φ = 58512000000.

The previous prime is 220223309981. The next prime is 220223310049. The reversal of 220223310000 is 13322022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2202233100002 (a number of 23 digits) contains 22 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8296750 + ... + 8323250.

Almost surely, 2220223310000 is an apocalyptic number.

220223310000 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 220223310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356751796632).

220223310000 is an abundant number, since it is smaller than the sum of its proper divisors (493280283264).

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

220223310000 is a wasteful number, since it uses less digits than its factorization.

220223310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26809 (or 26788 counting only the distinct ones).

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

Adding to 220223310000 its reverse (13322022), we get a palindrome (220236632022).

The spelling of 220223310000 in words is "two hundred twenty billion, two hundred twenty-three million, three hundred ten thousand".