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213232342240 = 2554330993073
BaseRepresentation
bin1100011010010110100…
…0110101010011100000
3202101101112021022121001
43012211220311103200
511443144434422430
6241542501041344
721256045001161
oct3064550652340
9671345238531
10213232342240
1182482109835
12353ab0b6254
1317152890298
14a46b64b768
15582eebd3ca
hex31a5a354e0

213232342240 has 48 divisors (see below), whose sum is σ = 515476806768. Its totient is φ = 83309377536.

The previous prime is 213232342237. The next prime is 213232342241. The reversal of 213232342240 is 42243232312.

It is a junction number, because it is equal to n+sod(n) for n = 213232342199 and 213232342208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232342241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15489657 + ... + 15503416.

It is an arithmetic number, because the mean of its divisors is an integer number (10739100141).

Almost surely, 2213232342240 is an apocalyptic number.

213232342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213232342240 is an abundant number, since it is smaller than the sum of its proper divisors (302244464528).

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

213232342240 is a wasteful number, since it uses less digits than its factorization.

213232342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30993131 (or 30993123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 213232342240 its reverse (42243232312), we get a palindrome (255475574552).

The spelling of 213232342240 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 30993073 61986146 123972292 154965365 247944584 309930730 495889168 619861460 991778336 1239722920 1332702139 2479445840 2665404278 4958891680 5330808556 6663510695 10661617112 13327021390 21323234224 26654042780 42646468448 53308085560 106616171120 213232342240