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21122370 = 234589293
BaseRepresentation
bin101000010010…
…0110101000010
31110202010110000
41100210311002
520401403440
62032420430
7344352153
oct120446502
943663400
1021122370
1110a17605
1270a7716
1344b7259
142b3b92a
151cc3730
hex1424d42

21122370 has 80 divisors (see below), whose sum is σ = 57629880. Its totient is φ = 5550336.

The previous prime is 21122363. The next prime is 21122383. The reversal of 21122370 is 7322112.

It can be written as a sum of positive squares in 4 ways, for example, as 18584721 + 2537649 = 4311^2 + 1593^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71944 + ... + 72236.

Almost surely, 221122370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28814940).

21122370 is an abundant number, since it is smaller than the sum of its proper divisors (36507510).

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

21122370 is a wasteful number, since it uses less digits than its factorization.

21122370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21122370 is about 4595.9079625249. The cubic root of 21122370 is about 276.4272682727.

Adding to 21122370 its reverse (7322112), we get a palindrome (28444482).

The spelling of 21122370 in words is "twenty-one million, one hundred twenty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 293 405 445 534 586 801 810 879 890 1335 1465 1602 1758 2403 2637 2670 2930 4005 4395 4806 5274 7209 7911 8010 8790 12015 13185 14418 15822 23733 24030 26077 26370 36045 39555 47466 52154 72090 78231 79110 118665 130385 156462 234693 237330 260770 391155 469386 704079 782310 1173465 1408158 2112237 2346930 3520395 4224474 7040790 10561185 21122370