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22443223033040 = 24510124731123181
BaseRepresentation
bin1010001101001011110000…
…10101100010010011010000
32221110112212210122022021012
411012211320111202103100
510420202210044024130
6115422135130550052
74504316663112365
oct506457025422320
987415783568235
1022443223033040
117173132343727
122625791b98328
13c6a504bb0324
1457838754046c
1528dbee191995
hex1469785624d0

22443223033040 has 80 divisors (see below), whose sum is σ = 52718488028496. Its totient is φ = 8884803072000.

The previous prime is 22443223033001. The next prime is 22443223033057. The reversal of 22443223033040 is 4033032234422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115934802064 + 22327288230976 = 340492^2 + 4725176^2 .

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

It is a super-2 number, since 2×224432230330402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22443223032988 and 22443223033006.

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, 19420250 + ... + 20543430.

Almost surely, 222443223033040 is an apocalyptic number.

22443223033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22443223033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26359244014248).

22443223033040 is an abundant number, since it is smaller than the sum of its proper divisors (30275264995456).

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

22443223033040 is a wasteful number, since it uses less digits than its factorization.

22443223033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125768 (or 1125762 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 22443223033040 its reverse (4033032234422), we get a palindrome (26476255267462).

The spelling of 22443223033040 in words is "twenty-two trillion, four hundred forty-three billion, two hundred twenty-three million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 2473 4040 4946 8080 9892 12365 19784 24730 39568 49460 98920 197840 249773 499546 999092 1123181 1248865 1998184 2246362 2497730 3996368 4492724 4995460 5615905 8985448 9990920 11231810 17970896 19981840 22463620 44927240 89854480 113441281 226882562 453765124 567206405 907530248 1134412810 1815060496 2268825620 2777626613 4537651240 5555253226 9075302480 11110506452 13888133065 22221012904 27776266130 44442025808 55552532260 111105064520 222210129040 280540287913 561080575826 1122161151652 1402701439565 2244322303304 2805402879130 4488644606608 5610805758260 11221611516520 22443223033040