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2122632 = 233331317
BaseRepresentation
bin1000000110001110001000
310222211201000
420012032020
51020411012
6113255000
724020301
oct10061610
93884630
102122632
11121a846
12864460
135941c5
143d37a8
152bdddc
hex206388

2122632 has 64 divisors (see below), whose sum is σ = 6105600. Its totient is φ = 682560.

The previous prime is 2122619. The next prime is 2122633. The reversal of 2122632 is 2362212.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122633) 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, 6538 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (95400).

22122632 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 2122632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052800).

2122632 is an abundant number, since it is smaller than the sum of its proper divisors (3982968).

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

2122632 is a wasteful number, since it uses less digits than its factorization.

2122632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2122632 is about 1456.9255300117. The cubic root of 2122632 is about 128.5163065298.

Adding to 2122632 its reverse (2362212), we get a palindrome (4484844).

The spelling of 2122632 in words is "two million, one hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 317 372 558 634 744 837 951 1116 1268 1674 1902 2232 2536 2853 3348 3804 5706 6696 7608 8559 9827 11412 17118 19654 22824 29481 34236 39308 58962 68472 78616 88443 117924 176886 235848 265329 353772 530658 707544 1061316 2122632