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221324124 = 223723971181
BaseRepresentation
bin11010011000100…
…10001101011100
3120102110102121210
431030102031130
5423124332444
633543424420
75325136560
oct1514221534
9512412553
10221324124
11103a280aa
1262155110
1336b12328
14215736a0
151466c7b9
hexd31235c

221324124 has 96 divisors (see below), whose sum is σ = 622734336. Its totient is φ = 59811840.

The previous prime is 221324119. The next prime is 221324161. The reversal of 221324124 is 421423122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221324124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186814 + ... + 187994.

It is an arithmetic number, because the mean of its divisors is an integer number (6486816).

Almost surely, 2221324124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221324124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311367168).

221324124 is an abundant number, since it is smaller than the sum of its proper divisors (401410212).

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

221324124 is a wasteful number, since it uses less digits than its factorization.

221324124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 221324124 is about 14876.9662229905. The cubic root of 221324124 is about 604.8897861752.

Adding to 221324124 its reverse (421423122), we get a palindrome (642747246).

The spelling of 221324124 in words is "two hundred twenty-one million, three hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 97 138 161 194 276 291 322 388 483 582 644 679 966 1164 1181 1358 1932 2037 2231 2362 2716 3543 4074 4462 4724 6693 7086 8148 8267 8924 13386 14172 15617 16534 24801 26772 27163 31234 33068 46851 49602 54326 62468 81489 93702 99204 108652 114557 162978 187404 190141 229114 325956 343671 380282 458228 570423 687342 760564 801899 1140846 1374684 1603798 2281692 2405697 2634811 3207596 4811394 5269622 7904433 9622788 10539244 15808866 18443677 31617732 36887354 55331031 73774708 110662062 221324124