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22100002020 = 22325832914741
BaseRepresentation
bin10100100101010000…
…110100010011100100
32010001012001102110100
4110211100310103210
5330230100031040
614052543424100
71411441626525
oct244520642344
963035042410
1022100002020
119410969688
1243492b5030
132112796695
1410d917284c
158952d3b30
hex5254344e4

22100002020 has 72 divisors (see below), whose sum is σ = 67049269560. Its totient is φ = 5892226560.

The previous prime is 22100001997. The next prime is 22100002051. The reversal of 22100002020 is 2020000122.

It can be written as a sum of positive squares in 4 ways, for example, as 3649126464 + 18450875556 = 60408^2 + 135834^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22100001993 and 22100002011.

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, 1491850 + ... + 1506590.

It is an arithmetic number, because the mean of its divisors is an integer number (931239855).

Almost surely, 222100002020 is an apocalyptic number.

22100002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100002020 is an abundant number, since it is smaller than the sum of its proper divisors (44949267540).

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

22100002020 is a wasteful number, since it uses less digits than its factorization.

22100002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23085 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22100002020 its reverse (2020000122), we get a palindrome (24120002142).

The spelling of 22100002020 in words is "twenty-two billion, one hundred million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8329 14741 16658 24987 29482 33316 41645 44223 49974 58964 73705 74961 83290 88446 99948 124935 132669 147410 149922 166580 176892 221115 249870 265338 294820 299844 374805 442230 499740 530676 663345 749610 884460 1326690 1499220 2653380 122777789 245555578 368333367 491111156 613888945 736666734 1105000101 1227777890 1473333468 1841666835 2210000202 2455555780 3683333670 4420000404 5525000505 7366667340 11050001010 22100002020