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2122794 = 233192069
BaseRepresentation
bin1000000110010000101010
310222211221000
420012100222
51020412134
6113255430
724020622
oct10062052
93884830
102122794
11121a983
12864576
135942bb
143d3882
152bde99
hex20642a

2122794 has 32 divisors (see below), whose sum is σ = 4968000. Its totient is φ = 670032.

The previous prime is 2122793. The next prime is 2122817. The reversal of 2122794 is 4972212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2122793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (155250).

22122794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484000).

2122794 is an abundant number, since it is smaller than the sum of its proper divisors (2845206).

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

2122794 is a wasteful number, since it uses less digits than its factorization.

2122794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2122794 is about 1456.9811254783. The cubic root of 2122794 is about 128.5195759161.

It can be divided in two parts, 21227 and 94, that added together give a triangular number (21321 = T206).

The spelling of 2122794 in words is "two million, one hundred twenty-two thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2069 4138 6207 12414 18621 37242 39311 55863 78622 111726 117933 235866 353799 707598 1061397 2122794