Search a number
-
+
198972945 = 3254421621
BaseRepresentation
bin10111101110000…
…01011000010001
3111212101212120100
423313001120101
5401414113240
631424403013
74634146023
oct1367013021
9455355510
10198972945
11a2351356
1256776469
13322b7992
141c5d6013
1512704e30
hexbdc1611

198972945 has 12 divisors (see below), whose sum is σ = 344886516. Its totient is φ = 106118880.

The previous prime is 198972937. The next prime is 198972953. The reversal of 198972945 is 549279891.

It is an interprime number because it is at equal distance from previous prime (198972937) and next prime (198972953).

It can be written as a sum of positive squares in 2 ways, for example, as 137381841 + 61591104 = 11721^2 + 7848^2 .

It is not a de Polignac number, because 198972945 - 23 = 198972937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 198972891 and 198972900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2210766 + ... + 2210855.

It is an arithmetic number, because the mean of its divisors is an integer number (28740543).

Almost surely, 2198972945 is an apocalyptic number.

198972945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198972945 is a deficient number, since it is larger than the sum of its proper divisors (145913571).

198972945 is a wasteful number, since it uses less digits than its factorization.

198972945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421632 (or 4421629 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 198972945 is about 14105.7770080205. Note that the first 3 decimals coincide. The cubic root of 198972945 is about 583.8007868485.

The spelling of 198972945 in words is "one hundred ninety-eight million, nine hundred seventy-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 4421621 13264863 22108105 39794589 66324315 198972945