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215319390 = 235111353947
BaseRepresentation
bin11001101010110…
…00001101011110
3120000011100200020
430311120031132
5420110210030
633211013010
75223120216
oct1465301536
9500140606
10215319390
111005a6710
126013a166
13357bc130
142084d246
1513d83510
hexcd5835e

215319390 has 128 divisors (see below), whose sum is σ = 619218432. Its totient is φ = 47224320.

The previous prime is 215319383. The next prime is 215319427. The reversal of 215319390 is 93913512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226897 + ... + 227843.

It is an arithmetic number, because the mean of its divisors is an integer number (4837644).

Almost surely, 2215319390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215319390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309609216).

215319390 is an abundant number, since it is smaller than the sum of its proper divisors (403899042).

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

215319390 is a wasteful number, since it uses less digits than its factorization.

215319390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 215319390 is about 14673.7653654405. The cubic root of 215319390 is about 599.3691424860.

The spelling of 215319390 in words is "two hundred fifteen million, three hundred nineteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 53 55 65 66 78 106 110 130 143 159 165 195 265 286 318 330 390 429 530 583 689 715 795 858 947 1166 1378 1430 1590 1749 1894 2067 2145 2841 2915 3445 3498 4134 4290 4735 5682 5830 6890 7579 8745 9470 10335 10417 12311 14205 15158 17490 20670 20834 22737 24622 28410 31251 36933 37895 45474 50191 52085 61555 62502 73866 75790 100382 104170 113685 123110 135421 150573 156255 184665 227370 250955 270842 301146 312510 369330 406263 501910 552101 652483 677105 752865 812526 1104202 1304966 1354210 1505730 1656303 1957449 2031315 2760505 3262415 3312606 3914898 4062630 5521010 6524830 7177313 8281515 9787245 14354626 16563030 19574490 21531939 35886565 43063878 71773130 107659695 215319390