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22315040 = 2551131409
BaseRepresentation
bin101010100100…
…0000000100000
31112222201110222
41111020000200
521203040130
62114142212
7360450266
oct125100040
945881428
1022315040
1111661690
127581968
134814087
142d6c436
151e5bce5
hex1548020

22315040 has 96 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 7833600.

The previous prime is 22315031. The next prime is 22315049. The reversal of 22315040 is 4051322.

It is an interprime number because it is at equal distance from previous prime (22315031) and next prime (22315049).

It is a super-3 number, since 3×223150403 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22315049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54356 + ... + 54764.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 222315040 is an apocalyptic number.

22315040 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 22315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

22315040 is an abundant number, since it is smaller than the sum of its proper divisors (37197280).

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

22315040 is a wasteful number, since it uses less digits than its factorization.

22315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 22315040 is about 4723.8797613826. The cubic root of 22315040 is about 281.5351057850.

Adding to 22315040 its reverse (4051322), we get a palindrome (26366362).

The spelling of 22315040 in words is "twenty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 409 440 496 620 682 818 880 992 1240 1364 1636 1705 1760 2045 2480 2728 3272 3410 4090 4499 4960 5456 6544 6820 8180 8998 10912 12679 13088 13640 16360 17996 22495 25358 27280 32720 35992 44990 50716 54560 63395 65440 71984 89980 101432 126790 139469 143968 179960 202864 253580 278938 359920 405728 507160 557876 697345 719840 1014320 1115752 1394690 2028640 2231504 2789380 4463008 5578760 11157520 22315040