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2200068 = 2233131567
BaseRepresentation
bin1000011001001000000100
311010202221000
420121020010
51030400233
6115053300
724462123
oct10311004
94122830
102200068
111272a42
128a1230
135c0520
14413aba
152d6d13
hex219204

2200068 has 48 divisors (see below), whose sum is σ = 6146560. Its totient is φ = 676512.

The previous prime is 2200061. The next prime is 2200069. The reversal of 2200068 is 8600022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2200068.

It is not an unprimeable number, because it can be changed into a prime (2200061) 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, 621 + ... + 2187.

22200068 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 2200068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073280).

2200068 is an abundant number, since it is smaller than the sum of its proper divisors (3946492).

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

2200068 is a wasteful number, since it uses less digits than its factorization.

2200068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2200068 is about 1483.2626200373. The cubic root of 2200068 is about 130.0604846746.

The spelling of 2200068 in words is "two million, two hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1567 3134 4701 6268 9402 14103 18804 20371 28206 40742 42309 56412 61113 81484 84618 122226 169236 183339 244452 366678 550017 733356 1100034 2200068