Search a number
-
+
2022640448080 = 24579311387913
BaseRepresentation
bin11101011011101110110…
…000111111001001010000
321011100210021211210001011
4131123232300333021100
5231114331423314310
64145104352220304
7266062626065230
oct35335660771120
97140707753034
102022640448080
1170a8848915aa
1228800223a694
13118970ca4705
146dc79705cc0
153793096878a
hex1d6eec3f250

2022640448080 has 80 divisors (see below), whose sum is σ = 5375035689984. Its totient is φ = 693400458240.

The previous prime is 2022640448051. The next prime is 2022640448083. The reversal of 2022640448080 is 808440462202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022640448083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5020204 + ... + 5408116.

Almost surely, 22022640448080 is an apocalyptic number.

2022640448080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022640448080 is an abundant number, since it is smaller than the sum of its proper divisors (3352395241904).

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

2022640448080 is a wasteful number, since it uses less digits than its factorization.

2022640448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397244 (or 397238 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 2022640448080 in words is "two trillion, twenty-two billion, six hundred forty million, four hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 9311 18622 37244 46555 65177 74488 93110 130354 148976 186220 260708 325885 372440 387913 521416 651770 744880 775826 1042832 1303540 1551652 1939565 2607080 2715391 3103304 3879130 5214160 5430782 6206608 7758260 10861564 13576955 15516520 21723128 27153910 31033040 43446256 54307820 108615640 217231280 3611857943 7223715886 14447431772 18059289715 25283005601 28894863544 36118579430 50566011202 57789727088 72237158860 101132022404 126415028005 144474317720 202264044808 252830056010 288948635440 404528089616 505660112020 1011320224040 2022640448080