Search a number
-
+
22120001220072 = 23372115191632913
BaseRepresentation
bin1010000011110001101101…
…10100001010110111101000
32220022122120220202221202010
411001320312310022313220
510344403230303020242
6115013442133435520
74442055152043300
oct501706664126750
986278526687663
1022120001220072
117059049026668
12259300779bba0
13c45ba406b8b2
14566884290600
152855d2eaa89c
hex141e36d0ade8

22120001220072 has 96 divisors (see below), whose sum is σ = 64334198937600. Its totient is φ = 6319447819776.

The previous prime is 22120001220071. The next prime is 22120001220073. The reversal of 22120001220072 is 27002210002122.

It is an interprime number because it is at equal distance from previous prime (22120001220071) and next prime (22120001220073).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22120001220071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12729888 + ... + 14362800.

It is an arithmetic number, because the mean of its divisors is an integer number (670147905600).

Almost surely, 222120001220072 is an apocalyptic number.

It is an amenable number.

22120001220072 is an abundant number, since it is smaller than the sum of its proper divisors (42214197717528).

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

22120001220072 is a wasteful number, since it uses less digits than its factorization.

22120001220072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644455 (or 1644444 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 22120001220072 its reverse (27002210002122), we get a palindrome (49122211222194).

The spelling of 22120001220072 in words is "twenty-two trillion, one hundred twenty billion, one million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 11519 23038 34557 46076 69114 80633 92152 138228 161266 241899 276456 322532 483798 564431 645064 967596 1128862 1632913 1693293 1935192 2257724 3265826 3386586 4515448 4898739 6531652 6773172 9797478 11430391 13063304 13546344 19594956 22860782 34291173 39189912 45721564 68582346 80012737 91443128 137164692 160025474 240038211 274329384 320050948 480076422 640101896 960152844 1920305688 18809524847 37619049694 56428574541 75238099388 112857149082 131666673929 150476198776 225714298164 263333347858 395000021787 451428596328 526666695716 790000043574 921666717503 1053333391432 1580000087148 1843333435006 2765000152509 3160000174296 3686666870012 5530000305018 7373333740024 11060000610036 22120001220072