Search a number
-
+
2200392 = 233361167
BaseRepresentation
bin1000011001001101001000
311010210101000
420121031020
51030403032
6115055000
724463065
oct10311510
94123330
102200392
111273207
128a1460
135c070c
14413c6c
152d6e7c
hex219348

2200392 has 64 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 717120.

The previous prime is 2200391. The next prime is 2200397. The reversal of 2200392 is 2930022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2200391) 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, 13093 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

22200392 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 2200392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2200392 is an abundant number, since it is smaller than the sum of its proper divisors (4049208).

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

2200392 is a wasteful number, since it uses less digits than its factorization.

2200392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2200392 is about 1483.3718347063. The cubic root of 2200392 is about 130.0668689513.

The spelling of 2200392 in words is "two million, two hundred thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 167 183 216 244 334 366 488 501 549 668 732 1002 1098 1336 1464 1503 1647 2004 2196 3006 3294 4008 4392 4509 6012 6588 9018 10187 12024 13176 18036 20374 30561 36072 40748 61122 81496 91683 122244 183366 244488 275049 366732 550098 733464 1100196 2200392