Search a number
-
+
31997196 = 223272111797
BaseRepresentation
bin111101000001…
…1110100001100
32020012121220100
41322003310030
531142402241
63101451100
7535654200
oct172036414
966177810
1031997196
1117074a70
12a870a90
13682406a
14436cb00
152c209b6
hex1e83d0c

31997196 has 216 divisors, whose sum is σ = 109798416. Its totient is φ = 7741440.

The previous prime is 31997183. The next prime is 31997201. The reversal of 31997196 is 69179913.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329820 + ... + 329916.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 231997196 is an apocalyptic number.

31997196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31997196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

31997196 is an abundant number, since it is smaller than the sum of its proper divisors (77801220).

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

31997196 is a wasteful number, since it uses less digits than its factorization.

31997196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 31997196 is about 5656.6064031361. The cubic root of 31997196 is about 317.4709370550.

The spelling of 31997196 in words is "thirty-one million, nine hundred ninety-seven thousand, one hundred ninety-six".