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221112012 = 223112197773
BaseRepresentation
bin11010010110111…
…10011011001100
3120102001122122210
431023132123030
5423101041022
633535110420
75323264302
oct1513363314
9512048583
10221112012
111038a2800
1262072410
1336a69914
142151a272
1514629a0c
hexd2de6cc

221112012 has 72 divisors (see below), whose sum is σ = 570710448. Its totient is φ = 66577280.

The previous prime is 221111983. The next prime is 221112019. The reversal of 221112012 is 210211122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221112019) 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, 285658 + ... + 286430.

It is an arithmetic number, because the mean of its divisors is an integer number (7926534).

Almost surely, 2221112012 is an apocalyptic number.

221112012 is a gapful number since it is divisible by the number (22) 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 221112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285355224).

221112012 is an abundant number, since it is smaller than the sum of its proper divisors (349598436).

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

221112012 is a wasteful number, since it uses less digits than its factorization.

221112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 221112012 is about 14869.8356413244. The cubic root of 221112012 is about 604.6964868791.

Adding to 221112012 its reverse (210211122), we get a palindrome (431323134).

The spelling of 221112012 in words is "two hundred twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 197 242 363 394 484 591 726 773 788 1182 1452 1546 2167 2319 2364 3092 4334 4638 6501 8503 8668 9276 13002 17006 23837 25509 26004 34012 47674 51018 71511 93533 95348 102036 143022 152281 187066 280599 286044 304562 374132 456843 561198 609124 913686 1122396 1675091 1827372 3350182 5025273 6700364 10050546 18426001 20101092 36852002 55278003 73704004 110556006 221112012