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221240304 = 243229311709
BaseRepresentation
bin11010010111111…
…01101111110000
3120102022011122100
431023331233300
5423114142204
633541540400
75324340315
oct1513755760
9512264570
10221240304
1110398012a
1262114700
1336ab312c
1421550d0c
1514652a39
hexd2fdbf0

221240304 has 120 divisors (see below), whose sum is σ = 661564800. Its totient is φ = 68866560.

The previous prime is 221240251. The next prime is 221240309. The reversal of 221240304 is 403042122.

221240304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212403042 = 97894544228024832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221240309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128602 + ... + 130310.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2221240304 is an apocalyptic number.

221240304 is a gapful number since it is divisible by the number (24) 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 221240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330782400).

221240304 is an abundant number, since it is smaller than the sum of its proper divisors (440324496).

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

221240304 is a wasteful number, since it uses less digits than its factorization.

221240304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221240304 is about 14874.1488495981. The cubic root of 221240304 is about 604.8134151303.

Adding to 221240304 its reverse (403042122), we get a palindrome (624282426).

The spelling of 221240304 in words is "two hundred twenty-one million, two hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 48 58 62 72 87 93 116 124 144 174 186 232 248 261 279 348 372 464 496 522 558 696 744 899 1044 1116 1392 1488 1709 1798 2088 2232 2697 3418 3596 4176 4464 5127 5394 6836 7192 8091 10254 10788 13672 14384 15381 16182 20508 21576 27344 30762 32364 41016 43152 49561 52979 61524 64728 82032 99122 105958 123048 129456 148683 158937 198244 211916 246096 297366 317874 396488 423832 446049 476811 594732 635748 792976 847664 892098 953622 1189464 1271496 1536391 1784196 1907244 2378928 2542992 3072782 3568392 3814488 4609173 6145564 7136784 7628976 9218346 12291128 13827519 18436692 24582256 27655038 36873384 55310076 73746768 110620152 221240304