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221236540 = 225723127541
BaseRepresentation
bin11010010111111…
…00110100111100
3120102021222110221
431023330310330
5423114032130
633541511124
75324323330
oct1513746474
9512258427
10221236540
11103978318
12621124a4
1336ab14c5
142154d7c0
151465187a
hexd2fcd3c

221236540 has 96 divisors (see below), whose sum is σ = 559448064. Its totient is φ = 71850240.

The previous prime is 221236523. The next prime is 221236597. The reversal of 221236540 is 45632122.

It is a congruent number.

It is an unprimeable number.

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, 408670 + ... + 409210.

It is an arithmetic number, because the mean of its divisors is an integer number (5827584).

Almost surely, 2221236540 is an apocalyptic number.

221236540 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 221236540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279724032).

221236540 is an abundant number, since it is smaller than the sum of its proper divisors (338211524).

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

221236540 is a wasteful number, since it uses less digits than its factorization.

221236540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 221236540 is about 14874.0223208115. The cubic root of 221236540 is about 604.8099851787.

Adding to 221236540 its reverse (45632122), we get a palindrome (266868662).

The spelling of 221236540 in words is "two hundred twenty-one million, two hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 127 140 161 230 254 322 460 508 541 635 644 805 889 1082 1270 1610 1778 2164 2540 2705 2921 3220 3556 3787 4445 5410 5842 7574 8890 10820 11684 12443 14605 15148 17780 18935 20447 24886 29210 37870 40894 49772 58420 62215 68707 75740 81788 87101 102235 124430 137414 174202 204470 248860 274828 343535 348404 408940 435505 480949 687070 871010 961898 1374140 1580261 1742020 1923796 2404745 3160522 4809490 6321044 7901305 9618980 11061827 15802610 22123654 31605220 44247308 55309135 110618270 221236540