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22520070 = 23251741359
BaseRepresentation
bin101010111101…
…0000100000110
31120101010201200
41111322010012
521231120240
62122403330
7362263116
oct125720406
946333650
1022520070
1111791731
127660546
1348864b1
142dc3046
151e9c930
hex157a106

22520070 has 96 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 5498880.

The previous prime is 22520063. The next prime is 22520077. The reversal of 22520070 is 7002522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22520063) and next prime (22520077).

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 (22520077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62551 + ... + 62909.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 222520070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22520070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

22520070 is an abundant number, since it is smaller than the sum of its proper divisors (41165370).

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

22520070 is a wasteful number, since it uses less digits than its factorization.

22520070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 22520070 is about 4745.5315824468. The cubic root of 22520070 is about 282.3947241322.

Adding to 22520070 its reverse (7002522), we get a palindrome (29522592).

The spelling of 22520070 in words is "twenty-two million, five hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 205 246 255 306 359 369 410 510 615 697 718 738 765 1077 1230 1394 1530 1795 1845 2091 2154 3231 3485 3590 3690 4182 5385 6103 6273 6462 6970 10455 10770 12206 12546 14719 16155 18309 20910 29438 30515 31365 32310 36618 44157 54927 61030 62730 73595 88314 91545 109854 132471 147190 183090 220785 250223 264942 274635 441570 500446 549270 662355 750669 1251115 1324710 1501338 2252007 2502230 3753345 4504014 7506690 11260035 22520070