Search a number
-
+
22464270 = 23351929151
BaseRepresentation
bin101010110110…
…0011100001110
31120021022012000
41111230130032
521222324040
62121253130
7361641333
oct125543416
946238160
1022464270
1111753814
1276341a6
134866c8a
142daa98a
151e8b130
hex156c70e

22464270 has 128 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 5443200.

The previous prime is 22464227. The next prime is 22464271. The reversal of 22464270 is 7246422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22464271) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 148695 + ... + 148845.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 222464270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22464270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

22464270 is an abundant number, since it is smaller than the sum of its proper divisors (43199730).

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

22464270 is a wasteful number, since it uses less digits than its factorization.

22464270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22464270 is about 4739.6487211607. The cubic root of 22464270 is about 282.1612929713.

The spelling of 22464270 in words is "twenty-two million, four hundred sixty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 151 171 174 190 261 270 285 290 302 342 435 453 513 522 551 570 755 783 855 870 906 1026 1102 1305 1359 1510 1566 1653 1710 2265 2565 2610 2718 2755 2869 3306 3915 4077 4379 4530 4959 5130 5510 5738 6795 7830 8154 8265 8607 8758 9918 13137 13590 14345 14877 16530 17214 20385 21895 24795 25821 26274 28690 29754 39411 40770 43035 43790 49590 51642 65685 74385 77463 78822 83201 86070 118233 129105 131370 148770 154926 166402 197055 236466 249603 258210 387315 394110 416005 499206 591165 748809 774630 832010 1182330 1248015 1497618 2246427 2496030 3744045 4492854 7488090 11232135 22464270