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22330132020 = 22325722531761
BaseRepresentation
bin10100110010111110…
…101100011000110100
32010122020002020110200
4110302332230120310
5331213003211040
614131444120500
71420234663500
oct246276543064
963566066420
1022330132020
119519860769
1243b2396130
13214b36cb91
14111b959300
158aa5e0630
hex532fac634

22330132020 has 108 divisors (see below), whose sum is σ = 78793496964. Its totient is φ = 5104028160.

The previous prime is 22330132007. The next prime is 22330132031. The reversal of 22330132020 is 2023103322.

It is a happy number.

22330132020 is a `hidden beast` number, since 2 + 23 + 301 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9057709584 + 13272422436 = 95172^2 + 115206^2 .

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 = 22330131984 and 22330132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1257061 + ... + 1274700.

Almost surely, 222330132020 is an apocalyptic number.

22330132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330132020 is an abundant number, since it is smaller than the sum of its proper divisors (56463364944).

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

22330132020 is a wasteful number, since it uses less digits than its factorization.

22330132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531790 (or 2531778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22330132020 its reverse (2023103322), we get a palindrome (24353235342).

The spelling of 22330132020 in words is "twenty-two billion, three hundred thirty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 2531761 5063522 7595283 10127044 12658805 15190566 17722327 22785849 25317610 30381132 35444654 37976415 45571698 50635220 53166981 70889308 75952830 88611635 91143396 106333962 113929245 124056289 151905660 159500943 177223270 212667924 227858490 248112578 265834905 319001886 354446540 372168867 455716980 496225156 531669810 620281445 638003772 744337734 797504715 1063339620 1116506601 1240562890 1488675468 1595009430 1860844335 2233013202 2481125780 3190018860 3721688670 4466026404 5582533005 7443377340 11165066010 22330132020