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215437252040 = 23529477875021
BaseRepresentation
bin1100100010100100001…
…1111001010111001000
3202121002012012100012222
43020221003321113020
512012203414031130
6242545343553212
721364510266503
oct3105103712710
9677065170188
10215437252040
118340379213a
12359055bb808
131741462063a
14a5da40613a
15590d859ce5
hex32290f95c8

215437252040 has 128 divisors (see below), whose sum is σ = 512870745600. Its totient is φ = 81313397760.

The previous prime is 215437252039. The next prime is 215437252049. The reversal of 215437252040 is 40252734512.

It is not an unprimeable number, because it can be changed into a prime (215437252049) 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 31 ways as a sum of consecutive naturals, for example, 42904730 + ... + 42909750.

It is an arithmetic number, because the mean of its divisors is an integer number (4006802700).

Almost surely, 2215437252040 is an apocalyptic number.

215437252040 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 215437252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256435372800).

215437252040 is an abundant number, since it is smaller than the sum of its proper divisors (297433493560).

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

215437252040 is a wasteful number, since it uses less digits than its factorization.

215437252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

Adding to 215437252040 its reverse (40252734512), we get a palindrome (255689986552).

The spelling of 215437252040 in words is "two hundred fifteen billion, four hundred thirty-seven million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 787 940 1160 1363 1574 1880 2726 3148 3935 5021 5452 6296 6815 7870 10042 10904 13630 15740 20084 22823 25105 27260 31480 36989 40168 45646 50210 54520 73978 91292 100420 114115 145609 147956 182584 184945 200840 228230 235987 291218 295912 369890 456460 471974 582436 728045 739780 912920 943948 1072681 1164872 1179935 1456090 1479560 1887896 2145362 2359870 2912180 3951527 4290724 4719740 5363405 5824360 6843623 7903054 8581448 9439480 10726810 13687246 15806108 19757635 21453620 27374492 31612216 34218115 39515270 42907240 54748984 68436230 79030540 114594283 136872460 158061080 185721769 229188566 273744920 371443538 458377132 572971415 742887076 916754264 928608845 1145942830 1485774152 1857217690 2291885660 3714435380 4583771320 5385931301 7428870760 10771862602 21543725204 26929656505 43087450408 53859313010 107718626020 215437252040