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2112156 = 22354153
BaseRepresentation
bin1000000011101010011100
310222022100000
420003222130
51020042111
6113134300
723644614
oct10035234
93868300
102112156
111212992
1285a390
1358c4c7
143cda44
152bac56
hex203a9c

2112156 has 72 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 673920.

The previous prime is 2112151. The next prime is 2112161. The reversal of 2112156 is 6512112.

It is an interprime number because it is at equal distance from previous prime (2112151) and next prime (2112161).

It is a super-2 number, since 2×21121562 = 8922405936672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (2112151) 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, 39826 + ... + 39878.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

22112156 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 2112156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

2112156 is an abundant number, since it is smaller than the sum of its proper divisors (3666708).

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

2112156 is a wasteful number, since it uses less digits than its factorization.

2112156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2112156 is about 1453.3258409593. The cubic root of 2112156 is about 128.3045320574.

Adding to 2112156 its reverse (6512112), we get a palindrome (8624268).

The spelling of 2112156 in words is "two million, one hundred twelve thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 81 82 106 108 123 159 162 164 212 243 246 318 324 369 477 486 492 636 738 954 972 1107 1431 1476 1908 2173 2214 2862 3321 4293 4346 4428 5724 6519 6642 8586 8692 9963 12879 13038 13284 17172 19557 19926 25758 26076 39114 39852 51516 58671 78228 117342 176013 234684 352026 528039 704052 1056078 2112156