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221037390 = 233571071093
BaseRepresentation
bin11010010110011…
…00001101001110
3120101220212022000
431023030031032
5423041144030
633533333130
75322533610
oct1513141516
9511825260
10221037390
11103851732
12620371a6
1336a41972
14214dadb0
1514612860
hexd2cc34e

221037390 has 128 divisors (see below), whose sum is σ = 680555520. Its totient is φ = 50004864.

The previous prime is 221037367. The next prime is 221037403. The reversal of 221037390 is 93730122.

221037390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 201684 + ... + 202776.

It is an arithmetic number, because the mean of its divisors is an integer number (5316840).

Almost surely, 2221037390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221037390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340277760).

221037390 is an abundant number, since it is smaller than the sum of its proper divisors (459518130).

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

221037390 is a wasteful number, since it uses less digits than its factorization.

221037390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 221037390 is about 14867.3262559211. The cubic root of 221037390 is about 604.6284538823.

The spelling of 221037390 in words is "two hundred twenty-one million, thirty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 107 126 135 189 210 214 270 315 321 378 535 630 642 749 945 963 1070 1093 1498 1605 1890 1926 2186 2247 2889 3210 3279 3745 4494 4815 5465 5778 6558 6741 7490 7651 9630 9837 10930 11235 13482 14445 15302 16395 19674 20223 22470 22953 28890 29511 32790 33705 38255 40446 45906 49185 59022 67410 68859 76510 98370 101115 114765 116951 137718 147555 202230 206577 229530 233902 295110 344295 350853 413154 584755 688590 701706 818657 1032885 1052559 1169510 1637314 1754265 2065770 2105118 2455971 3157677 3508530 4093285 4911942 5262795 6315354 7367913 8186570 10525590 12279855 14735826 15788385 22103739 24559710 31576770 36839565 44207478 73679130 110518695 221037390