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221442102 = 232717671543
BaseRepresentation
bin11010011001011…
…11000000110110
3120102200102110100
431030233000312
5423142121402
633550134530
75326140540
oct1514570066
9512612410
10221442102
11103aa8802
12621b1446
1336b53c3b
14215a4690
151469271c
hexd32f036

221442102 has 96 divisors (see below), whose sum is σ = 589635072. Its totient is φ = 58620672.

The previous prime is 221442101. The next prime is 221442103. The reversal of 221442102 is 201244122.

221442102 is a `hidden beast` number, since 221 + 442 + 1 + 0 + 2 = 666.

221442102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221442101) and next prime (221442103).

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 (221442101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142743 + ... + 144285.

It is an arithmetic number, because the mean of its divisors is an integer number (6142032).

Almost surely, 2221442102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221442102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294817536).

221442102 is an abundant number, since it is smaller than the sum of its proper divisors (368192970).

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

221442102 is a wasteful number, since it uses less digits than its factorization.

221442102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221442102 is about 14880.9308176606. The cubic root of 221442102 is about 604.9972469879.

Adding to 221442102 its reverse (201244122), we get a palindrome (422686224).

The spelling of 221442102 in words is "two hundred twenty-one million, four hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 67 102 119 126 134 153 201 238 306 357 402 469 603 714 938 1071 1139 1206 1407 1543 2142 2278 2814 3086 3417 4221 4629 6834 7973 8442 9258 10251 10801 13887 15946 20502 21602 23919 26231 27774 32403 47838 52462 64806 71757 78693 97209 103381 143514 157386 183617 194418 206762 236079 310143 367234 472158 550851 620286 723667 930429 1101702 1447334 1652553 1757477 1860858 2171001 3305106 3514954 4342002 5272431 6513003 10544862 12302339 13026006 15817293 24604678 31634586 36907017 73814034 110721051 221442102