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2122830 = 2325103229
BaseRepresentation
bin1000000110010001001110
310222211222100
420012101032
51020412310
6113255530
724021003
oct10062116
93884870
102122830
11121aa06
128645a6
13594318
143d38aa
152bdec0
hex20644e

2122830 has 48 divisors (see below), whose sum is σ = 5597280. Its totient is φ = 558144.

The previous prime is 2122823. The next prime is 2122837. The reversal of 2122830 is 382212.

It is a happy number.

2122830 is a nontrivial binomial coefficient, being equal to C(2061, 2).

It is an interprime number because it is at equal distance from previous prime (2122823) and next prime (2122837).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9156 + ... + 9384.

It is an arithmetic number, because the mean of its divisors is an integer number (116610).

22122830 is an apocalyptic number.

2122830 is the 2060-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798640).

2122830 is an abundant number, since it is smaller than the sum of its proper divisors (3474450).

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

2122830 is a wasteful number, since it uses less digits than its factorization.

2122830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

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

The square root of 2122830 is about 1456.9934797383. The cubic root of 2122830 is about 128.5203024238.

The spelling of 2122830 in words is "two million, one hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 229 309 458 515 618 687 927 1030 1145 1374 1545 1854 2061 2290 3090 3435 4122 4635 6870 9270 10305 20610 23587 47174 70761 117935 141522 212283 235870 353805 424566 707610 1061415 2122830