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2211372 = 2232195361
BaseRepresentation
bin1000011011111000101100
311011100102200
420123320230
51031230442
6115221500
724540102
oct10337054
94140380
102211372
111280489
128a7890
135c5707
14417c72
152da34c
hex21be2c

2211372 has 72 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 673920.

The previous prime is 2211367. The next prime is 2211373. The reversal of 2211372 is 2731122.

2211372 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22113722 = 9780332244768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2211373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36222 + ... + 36282.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

22211372 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 2211372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2211372 is an abundant number, since it is smaller than the sum of its proper divisors (3881988).

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

2211372 is a wasteful number, since it uses less digits than its factorization.

2211372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2211372 is about 1487.0682566715. The cubic root of 2211372 is about 130.2828555137.

Adding to 2211372 its reverse (2731122), we get a palindrome (4942494).

The spelling of 2211372 in words is "two million, two hundred eleven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 61 76 106 114 122 159 171 183 212 228 244 318 342 366 477 549 636 684 732 954 1007 1098 1159 1908 2014 2196 2318 3021 3233 3477 4028 4636 6042 6466 6954 9063 9699 10431 12084 12932 13908 18126 19398 20862 29097 36252 38796 41724 58194 61427 116388 122854 184281 245708 368562 552843 737124 1105686 2211372