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220122223100 = 225213491344857
BaseRepresentation
bin1100110100000001001…
…1101001000111111100
3210001011200210112022122
43031000103221013330
512101302242114400
6245042303102112
721621556011323
oct3150023510774
9701150715278
10220122223100
118539829024a
12367b25a1938
13179b011b870
14a9227010ba
155ad4cd4685
hex33404e91fc

220122223100 has 72 divisors (see below), whose sum is σ = 515457873168. Its totient is φ = 81110131200.

The previous prime is 220122223049. The next prime is 220122223103. The reversal of 220122223100 is 1322221022.

220122223100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201222231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465872 + ... + 810728.

Almost surely, 2220122223100 is an apocalyptic number.

220122223100 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 220122223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257728936584).

220122223100 is an abundant number, since it is smaller than the sum of its proper divisors (295335650068).

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

220122223100 is a wasteful number, since it uses less digits than its factorization.

220122223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345375 (or 345368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 220122223100 its reverse (1322221022), we get a palindrome (221444444122).

The spelling of 220122223100 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 491 650 982 1300 1964 2455 4910 6383 9820 12275 12766 24550 25532 31915 49100 63830 127660 159575 319150 344857 638300 689714 1379428 1724285 3448570 4483141 6897140 8621425 8966282 17242850 17932564 22415705 34485700 44831410 89662820 112078525 169324787 224157050 338649574 448314100 677299148 846623935 1693247870 2201222231 3386495740 4233119675 4402444462 8466239350 8804888924 11006111155 16932478700 22012222310 44024444620 55030555775 110061111550 220122223100