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220404200220 = 223258419145441
BaseRepresentation
bin1100110101000100011…
…1010011001100011100
3210001220100101110012200
43031101013103030130
512102341433401340
6245130254531500
721631551535131
oct3152107231434
9701810343180
10220404200220
1185522474896
1236870b06b90
1317a26679129
14a94bd42588
155aee933330
hex33511d331c

220404200220 has 72 divisors (see below), whose sum is σ = 668643415440. Its totient is φ = 58767068160.

The previous prime is 220404200189. The next prime is 220404200251. The reversal of 220404200220 is 22002404022.

220404200220 is a `hidden beast` number, since 2 + 20 + 4 + 0 + 420 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (220404200189) and next prime (220404200251).

It is a super-2 number, since 2×2204042002202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220404200193 and 220404200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442700 + ... + 1588140.

Almost surely, 2220404200220 is an apocalyptic number.

220404200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220404200220 is an abundant number, since it is smaller than the sum of its proper divisors (448239215220).

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

220404200220 is a wasteful number, since it uses less digits than its factorization.

220404200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153875 (or 153870 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220404200220 its reverse (22002404022), we get a palindrome (242406604242).

The spelling of 220404200220 in words is "two hundred twenty billion, four hundred four million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8419 16838 25257 33676 42095 50514 75771 84190 101028 126285 145441 151542 168380 252570 290882 303084 378855 436323 505140 581764 727205 757710 872646 1308969 1454410 1515420 1745292 2181615 2617938 2908820 4363230 5235876 6544845 8726460 13089690 26179380 1224467779 2448935558 3673403337 4897871116 6122338895 7346806674 11020210011 12244677790 14693613348 18367016685 22040420022 24489355580 36734033370 44080840044 55101050055 73468066740 110202100110 220404200220