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220212222022100 = 225271128598989873
BaseRepresentation
bin110010000100100000100111…
…010001001101000111010100
31001212201002020101021022010202
4302010200213101031013110
5212330424112314201400
62100204033114040032
764245544101635060
oct6204404721150724
91055632211238122
10220212222022100
116419152a4576a0
122084672b719018
1395b4c00a21509
143c54485256aa0
151a6d35a3744d5
hexc8482744d1d4

220212222022100 has 72 divisors (see below), whose sum is σ = 595774157055168. Its totient is φ = 68637575692800.

The previous prime is 220212222022061. The next prime is 220212222022139. The reversal of 220212222022100 is 1220222212022.

It is an interprime number because it is at equal distance from previous prime (220212222022061) and next prime (220212222022139).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14299487237 + ... + 14299502636.

Almost surely, 2220212222022100 is an apocalyptic number.

220212222022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212222022100 is an abundant number, since it is smaller than the sum of its proper divisors (375561935033068).

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

220212222022100 is a wasteful number, since it uses less digits than its factorization.

220212222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28598989905 (or 28598989898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220212222022100 its reverse (1220222212022), we get a palindrome (221432444234122).

The spelling of 220212222022100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28598989873 57197979746 114395959492 142994949365 200192929111 285989898730 314588888603 400385858222 571979797460 629177777206 714974746825 800771716444 1000964645555 1258355554412 1429949493650 1572944443015 2001929291110 2202122220221 2859898987300 3145888886030 4003858582220 4404244440442 5004823227775 6291777772060 7864722215075 8808488880884 10009646455550 11010611101105 15729444430150 20019292911100 22021222202210 31458888860300 44042444404420 55053055505525 110106111011050 220212222022100