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20220220221984 = 2532371897543189
BaseRepresentation
bin1001001100011111000110…
…00010110010101000100000
32122121000220220122220011200
410212033203002302220200
510122242002334100414
6111001012501441200
74154601623022246
oct446174302625040
978530826586150
1020220220221984
1164963901a22a2
122326992a10200
13b389b27c52b3
144dc94198c796
15250e93577109
hex1263e30b2a20

20220220221984 has 72 divisors (see below), whose sum is σ = 59055339159180. Its totient is φ = 6557909257728.

The previous prime is 20220220221911. The next prime is 20220220221989. The reversal of 20220220221984 is 48912202202202.

It is a happy number.

20220220221984 is a `hidden beast` number, since 2 + 0 + 220 + 220 + 22 + 198 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20175009555600 + 45210666384 = 4491660^2 + 212628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20220220221989) 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, 948760939 + ... + 948782250.

Almost surely, 220220220221984 is an apocalyptic number.

20220220221984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20220220221984 is an abundant number, since it is smaller than the sum of its proper divisors (38835118937196).

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

20220220221984 is a wasteful number, since it uses less digits than its factorization.

20220220221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897543242 (or 1897543231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20220220221984 in words is "twenty trillion, two hundred twenty billion, two hundred twenty million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 1897543189 3795086378 5692629567 7590172756 11385259134 15180345512 17077888701 22770518268 30360691024 34155777402 45541036536 60721382048 68311554804 70209097993 91082073072 136623109608 140418195986 182164146144 210627293979 273246219216 280836391972 421254587958 546492438432 561672783944 631881881937 842509175916 1123345567888 1263763763874 1685018351832 2246691135776 2527527527748 3370036703664 5055055055496 6740073407328 10110110110992 20220220221984