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22453340 = 225713373
BaseRepresentation
bin101010110100…
…1110001011100
31120020202012012
41111221301130
521222001330
62121130352
7361564430
oct125516134
946222165
1022453340
1111746588
1276299b8
134862000
142da69c0
151e87c95
hex1569c5c

22453340 has 96 divisors (see below), whose sum is σ = 59176320. Its totient is φ = 7008768.

The previous prime is 22453303. The next prime is 22453349. The reversal of 22453340 is 4335422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453349) 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 31 ways as a sum of consecutive naturals, for example, 307544 + ... + 307616.

It is an arithmetic number, because the mean of its divisors is an integer number (616420).

Almost surely, 222453340 is an apocalyptic number.

22453340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22453340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29588160).

22453340 is an abundant number, since it is smaller than the sum of its proper divisors (36722980).

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

22453340 is a wasteful number, since it uses less digits than its factorization.

22453340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 22453340 is about 4738.4955418360. The cubic root of 22453340 is about 282.1155236490.

Adding to 22453340 its reverse (4335422), we get a palindrome (26788762).

The spelling of 22453340 in words is "twenty-two million, four hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 169 182 260 292 338 364 365 455 511 676 730 845 910 949 1022 1183 1460 1690 1820 1898 2044 2197 2366 2555 3380 3796 4394 4732 4745 5110 5915 6643 8788 9490 10220 10985 11830 12337 13286 15379 18980 21970 23660 24674 26572 30758 33215 43940 49348 61516 61685 66430 76895 86359 123370 132860 153790 160381 172718 246740 307580 320762 345436 431795 641524 801905 863590 1122667 1603810 1727180 2245334 3207620 4490668 5613335 11226670 22453340