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220241060400 = 24352183534217
BaseRepresentation
bin1100110100011101100…
…0111110001000110000
3210001110222102002110010
43031013120332020300
512102023202413100
6245102150134520
721624531060624
oct3150730761060
9701428362403
10220241060400
1185449378499
1236826351440
13179cb9294aa
14a9343d7184
155ae045a750
hex334763e230

220241060400 has 60 divisors (see below), whose sum is σ = 705505533992. Its totient is φ = 58730949120.

The previous prime is 220241060399. The next prime is 220241060401. The reversal of 220241060400 is 4060142022.

It is an interprime number because it is at equal distance from previous prime (220241060399) and next prime (220241060401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2202410604002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220241060401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91765909 + ... + 91768308.

Almost surely, 2220241060400 is an apocalyptic number.

220241060400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220241060400 is an abundant number, since it is smaller than the sum of its proper divisors (485264473592).

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

220241060400 is a wasteful number, since it uses less digits than its factorization.

220241060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183534238 (or 183534227 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 220241060400 in words is "two hundred twenty billion, two hundred forty-one million, sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 183534217 367068434 550602651 734136868 917671085 1101205302 1468273736 1835342170 2202410604 2753013255 2936547472 3670684340 4404821208 4588355425 5506026510 7341368680 8809642416 9176710850 11012053020 13765066275 14682737360 18353421700 22024106040 27530132550 36706843400 44048212080 55060265100 73413686800 110120530200 220241060400