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22457240 = 23513192273
BaseRepresentation
bin101010110101…
…0101110011000
31120020221112122
41111222232120
521222112430
62121200412
7361612001
oct125525630
946227478
1022457240
1111749503
127630108
134863a10
142da81a8
151e88ee5
hex156ab98

22457240 has 64 divisors (see below), whose sum is σ = 57304800. Its totient is φ = 7852032.

The previous prime is 22457219. The next prime is 22457273. The reversal of 22457240 is 4275422.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 8744 + ... + 11016.

Almost surely, 222457240 is an apocalyptic number.

22457240 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 22457240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28652400).

22457240 is an abundant number, since it is smaller than the sum of its proper divisors (34847560).

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

22457240 is a wasteful number, since it uses less digits than its factorization.

22457240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 22457240 is about 4738.9070469888. The cubic root of 22457240 is about 282.1318565842.

The spelling of 22457240 in words is "twenty-two million, four hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2273 2470 4546 4940 9092 9880 11365 18184 22730 29549 43187 45460 59098 86374 90920 118196 147745 172748 215935 236392 295490 345496 431870 561431 590980 863740 1122862 1181960 1727480 2245724 2807155 4491448 5614310 11228620 22457240