Search a number
-
+
2197962 = 2331331101
BaseRepresentation
bin1000011000100111001010
311010200001000
420120213022
51030313322
6115035430
724453024
oct10304712
94120030
102197962
1112713a8
1289bb76
135bc590
14413014
152d63ac
hex2189ca

2197962 has 64 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 648000.

The previous prime is 2197961. The next prime is 2197973. The reversal of 2197962 is 2697912.

It is not an unprimeable number, because it can be changed into a prime (2197961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21712 + ... + 21812.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

22197962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

2197962 is an abundant number, since it is smaller than the sum of its proper divisors (3285558).

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

2197962 is a wasteful number, since it uses less digits than its factorization.

2197962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

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

The square root of 2197962 is about 1482.5525285804. The cubic root of 2197962 is about 130.0189715902.

The spelling of 2197962 in words is "two million, one hundred ninety-seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 101 117 186 202 234 279 303 351 403 558 606 702 806 837 909 1209 1313 1674 1818 2418 2626 2727 3131 3627 3939 5454 6262 7254 7878 9393 10881 11817 18786 21762 23634 28179 35451 40703 56358 70902 81406 84537 122109 169074 244218 366327 732654 1098981 2197962