[go: up one dir, main page]

Search a number
-
+
22242150 = 23252723307
BaseRepresentation
bin101010011011…
…0001101100110
31112212000111100
41110312031212
521143222100
62112420530
7360024630
oct124661546
945760440
1022242150
1111611947
127547746
1347b9b48
142d4da50
151e45400
hex1536366

22242150 has 144 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 4847040.

The previous prime is 22242109. The next prime is 22242161. The reversal of 22242150 is 5124222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72297 + ... + 72603.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 222242150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

22242150 is an abundant number, since it is smaller than the sum of its proper divisors (49253274).

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

22242150 is a wasteful number, since it uses less digits than its factorization.

22242150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22242150 is about 4716.1583942866. The cubic root of 22242150 is about 281.2282353528.

Adding to 22242150 its reverse (5124222), we get a palindrome (27366372).

The spelling of 22242150 in words is "twenty-two million, two hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 307 315 322 345 350 414 450 483 525 575 614 630 690 805 921 966 1035 1050 1150 1449 1535 1575 1610 1725 1842 2070 2149 2415 2763 2898 3070 3150 3450 4025 4298 4605 4830 5175 5526 6447 7061 7245 7675 8050 9210 10350 10745 12075 12894 13815 14122 14490 15350 19341 21183 21490 23025 24150 27630 32235 35305 36225 38682 42366 46050 49427 53725 63549 64470 69075 70610 72450 96705 98854 105915 107450 127098 138150 148281 161175 176525 193410 211830 247135 296562 317745 322350 353050 444843 483525 494270 529575 635490 741405 889686 967050 1059150 1235675 1482810 1588725 2224215 2471350 3177450 3707025 4448430 7414050 11121075 22242150