Search a number
-
+
2212974 = 233107383
BaseRepresentation
bin1000011100010001101110
311011102122000
420130101232
51031303344
6115233130
724544551
oct10342156
94142560
102212974
111281705
128a87a6
135c636a
14418698
152daa69
hex21c46e

2212974 has 32 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 728856.

The previous prime is 2212967. The next prime is 2212979. The reversal of 2212974 is 4792122.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

22212974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

2212974 is an abundant number, since it is smaller than the sum of its proper divisors (2763666).

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

2212974 is a wasteful number, since it uses less digits than its factorization.

2212974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2212974 is about 1487.6068028885. The cubic root of 2212974 is about 130.3143084993.

It can be divided in two parts, 22 and 12974, that added together give a square (12996 = 1142).

The spelling of 2212974 in words is "two million, two hundred twelve thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 383 642 766 963 1149 1926 2298 2889 3447 5778 6894 10341 20682 40981 81962 122943 245886 368829 737658 1106487 2212974