Search a number
-
+
2217996 = 2233111867
BaseRepresentation
bin1000011101100000001100
311011200112000
420131200030
51031433441
6115312300
724565314
oct10354014
94150460
102217996
111285460
128ab690
135c8731
1441a444
152dc2b6
hex21d80c

2217996 has 48 divisors (see below), whose sum is σ = 6276480. Its totient is φ = 671760.

The previous prime is 2217991. The next prime is 2218001. The reversal of 2217996 is 6997122.

It is an interprime number because it is at equal distance from previous prime (2217991) and next prime (2218001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 27 + 221 + 1 + 74 + 95 + 95 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 2217996.

It is not an unprimeable number, because it can be changed into a prime (2217991) 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, 255 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (130760).

22217996 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 2217996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138240).

2217996 is an abundant number, since it is smaller than the sum of its proper divisors (4058484).

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

2217996 is a wasteful number, since it uses less digits than its factorization.

2217996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1883 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2217996 is about 1489.2937923727. The cubic root of 2217996 is about 130.4128100379.

The spelling of 2217996 in words is "two million, two hundred seventeen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1867 3734 5601 7468 11202 16803 20537 22404 33606 41074 50409 61611 67212 82148 100818 123222 184833 201636 246444 369666 554499 739332 1108998 2217996