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221130540 = 223352831447
BaseRepresentation
bin11010010111000…
…10111100101100
3120102002121002000
431023202330230
5423102134130
633535332300
75323402311
oct1513427454
9512077060
10221130540
11103905714
1262081090
1336a75197
1421522d08
1514630260
hexd2e2f2c

221130540 has 96 divisors (see below), whose sum is σ = 690869760. Its totient is φ = 58719168.

The previous prime is 221130523. The next prime is 221130583. The reversal of 221130540 is 45031122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152097 + ... + 153543.

It is an arithmetic number, because the mean of its divisors is an integer number (7196560).

Almost surely, 2221130540 is an apocalyptic number.

221130540 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 221130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345434880).

221130540 is an abundant number, since it is smaller than the sum of its proper divisors (469739220).

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

221130540 is a wasteful number, since it uses less digits than its factorization.

221130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221130540 is about 14870.4586344874. The cubic root of 221130540 is about 604.7133765142.

Adding to 221130540 its reverse (45031122), we get a palindrome (266161662).

The spelling of 221130540 in words is "two hundred twenty-one million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 283 540 566 849 1132 1415 1447 1698 2547 2830 2894 3396 4245 4341 5094 5660 5788 7235 7641 8490 8682 10188 12735 13023 14470 15282 16980 17364 21705 25470 26046 28940 30564 38205 39069 43410 50940 52092 65115 76410 78138 86820 130230 152820 156276 195345 260460 390690 409501 781380 819002 1228503 1638004 2047505 2457006 3685509 4095010 4914012 6142515 7371018 8190020 11056527 12285030 14742036 18427545 22113054 24570060 36855090 44226108 55282635 73710180 110565270 221130540