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213022254540 = 223512109293201
BaseRepresentation
bin1100011001100100011…
…1011010010111001100
3202100211212221202110010
43012121013122113030
511442232144121130
6241505554113220
721250614200454
oct3063107322714
9670755852403
10213022254540
1182384566837
123535087b810
131711b1b3534
14a44b7a0d64
15581b8200b0
hex31991da5cc

213022254540 has 48 divisors (see below), whose sum is σ = 596513604960. Its totient is φ = 56801049600.

The previous prime is 213022254539. The next prime is 213022254551. The reversal of 213022254540 is 45452220312.

213022254540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130222545402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213022254498 and 213022254507.

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, 579940 + ... + 873140.

It is an arithmetic number, because the mean of its divisors is an integer number (12427366770).

Almost surely, 2213022254540 is an apocalyptic number.

213022254540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213022254540 is an abundant number, since it is smaller than the sum of its proper divisors (383491350420).

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

213022254540 is a wasteful number, since it uses less digits than its factorization.

213022254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305322 (or 305320 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 213022254540 its reverse (45452220312), we get a palindrome (258474474852).

The spelling of 213022254540 in words is "two hundred thirteen billion, twenty-two million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12109 24218 36327 48436 60545 72654 121090 145308 181635 242180 293201 363270 586402 726540 879603 1172804 1466005 1759206 2932010 3518412 4398015 5864020 8796030 17592060 3550370909 7100741818 10651112727 14201483636 17751854545 21302225454 35503709090 42604450908 53255563635 71007418180 106511127270 213022254540