196972200 has 288 divisors, whose sum is σ = 722063160. Its totient is φ = 47923200.

The previous prime is 196972199. The next prime is 196972211. The reversal of 196972200 is 2279691.

It can be written as a sum of positive squares in 12 ways, for example, as 19044 + 196953156 = 138^2 + 14034^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 1254522 + ... + 1254678.

Almost surely, 2^196972200 is an apocalyptic number.

196972200 is a gapful number since it is divisible by the number (10) 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 196972200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361031580).

196972200 is an abundant number, since it is smaller than the sum of its proper divisors (525090960).

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

196972200 is a wasteful number, since it uses less digits than its factorization.

196972200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

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

The square root of 196972200 is about 14034.6784786827. The cubic root of 196972200 is about 581.8374151727.

The spelling of 196972200 in words is "one hundred ninety-six million, nine hundred seventy-two thousand, two hundred".