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220000112020 = 225131749773781
BaseRepresentation
bin1100110011100100000…
…1110100110110010100
3210000212012000122102001
43030321001310312110
512101030012041040
6245022221525044
721615544045333
oct3147101646624
9700765018361
10220000112020
11853353673a7
1236779713784
1317990a35aa0
14a9103d5d1a
155ac921359a
hex3339074d94

220000112020 has 48 divisors (see below), whose sum is σ = 526805708688. Its totient is φ = 76452526080.

The previous prime is 220000111979. The next prime is 220000112051. The reversal of 220000112020 is 20211000022.

It can be written as a sum of positive squares in 8 ways, for example, as 42309198864 + 177690913156 = 205692^2 + 421534^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220000111988 and 220000112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24882471 + ... + 24891310.

It is an arithmetic number, because the mean of its divisors is an integer number (10975118931).

Almost surely, 2220000112020 is an apocalyptic number.

220000112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000112020 is an abundant number, since it is smaller than the sum of its proper divisors (306805596668).

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

220000112020 is a wasteful number, since it uses less digits than its factorization.

220000112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49773820 (or 49773818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220000112020 its reverse (20211000022), we get a palindrome (240211112042).

The spelling of 220000112020 in words is "two hundred twenty billion, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 49773781 99547562 199095124 248868905 497737810 647059153 846154277 995475620 1294118306 1692308554 2588236612 3235295765 3384617108 4230771385 6470591530 8461542770 11000005601 12941183060 16923085540 22000011202 44000022404 55000028005 110000056010 220000112020