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22114170 = 23251341461
BaseRepresentation
bin101010001011…
…0111101111010
31112121111221100
41110112331322
521130123140
62105552230
7355652541
oct124267572
945544840
1022114170
1111534781
1274a5676
134773810
142d19158
151e1c530
hex1516f7a

22114170 has 96 divisors (see below), whose sum is σ = 63567504. Its totient is φ = 5299200.

The previous prime is 22114159. The next prime is 22114177. The reversal of 22114170 is 7141122.

It can be written as a sum of positive squares in 8 ways, for example, as 463761 + 21650409 = 681^2 + 4653^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47740 + ... + 48200.

Almost surely, 222114170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783752).

22114170 is an abundant number, since it is smaller than the sum of its proper divisors (41453334).

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

22114170 is a wasteful number, since it uses less digits than its factorization.

22114170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 22114170 is about 4702.5705736331. The cubic root of 22114170 is about 280.6878073482.

Adding to 22114170 its reverse (7141122), we get a palindrome (29255292).

The spelling of 22114170 in words is "twenty-two million, one hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 461 533 585 615 738 922 1066 1170 1230 1383 1599 1845 2305 2665 2766 3198 3690 4149 4610 4797 5330 5993 6915 7995 8298 9594 11986 13830 15990 17979 18901 20745 23985 29965 35958 37802 41490 47970 53937 56703 59930 89895 94505 107874 113406 170109 179790 189010 245713 269685 283515 340218 491426 539370 567030 737139 850545 1228565 1474278 1701090 2211417 2457130 3685695 4422834 7371390 11057085 22114170