Search a number
-
+
22020235522640 = 2451725301639949
BaseRepresentation
bin1010000000110111111000…
…10100001111001001010000
32212222010002002000102012022
411000123330110033021100
510341234420243211030
6114455542340351012
74431623651440535
oct500337424171120
985863062012168
1022020235522640
11701a802982553
1225778043a5468
13c39664c66934
14561adc3c0d8c
15282be4603de5
hex1406fc50f250

22020235522640 has 80 divisors (see below), whose sum is σ = 54210865885200. Its totient is φ = 8289630412800.

The previous prime is 22020235522609. The next prime is 22020235522781. The reversal of 22020235522640 is 4622553202022.

22020235522640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 323979532864 + 21696255989776 = 569192^2 + 4657924^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22020235522640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34089386 + ... + 34729334.

It is an arithmetic number, because the mean of its divisors is an integer number (677635823565).

Almost surely, 222020235522640 is an apocalyptic number.

22020235522640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020235522640 is an abundant number, since it is smaller than the sum of its proper divisors (32190630362560).

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

22020235522640 is a wasteful number, since it uses less digits than its factorization.

22020235522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665280 (or 665274 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 22020235522640 its reverse (4622553202022), we get a palindrome (26642788724662).

The spelling of 22020235522640 in words is "twenty-two trillion, twenty billion, two hundred thirty-five million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 25301 50602 101204 126505 202408 253010 404816 430117 506020 639949 860234 1012040 1279898 1720468 2024080 2150585 2559796 3199745 3440936 4301170 5119592 6399490 6881872 8602340 10239184 10879133 12798980 17204680 21758266 25597960 34409360 43516532 51195920 54395665 87033064 108791330 174066128 217582660 435165320 870330640 16191349649 32382699298 64765398596 80956748245 129530797192 161913496490 259061594384 275252944033 323826992980 550505888066 647653985960 1101011776132 1295307971920 1376264720165 2202023552264 2752529440330 4404047104528 5505058880660 11010117761320 22020235522640