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22482240 = 2635112129
BaseRepresentation
bin101010111000…
…0110101000000
31120022012211120
41111300311000
521223412430
62121512240
7362044614
oct125606500
946265746
1022482240
1111766270
127642680
134872201
142db3344
151e91610
hex1570d40

22482240 has 112 divisors (see below), whose sum is σ = 77906880. Its totient is φ = 5447680.

The previous prime is 22482233. The next prime is 22482241. The reversal of 22482240 is 4228422.

It is a super-2 number, since 2×224822402 = 1010902230835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22482240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22482241) 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, 9496 + ... + 11624.

Almost surely, 222482240 is an apocalyptic number.

22482240 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 22482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38953440).

22482240 is an abundant number, since it is smaller than the sum of its proper divisors (55424640).

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

22482240 is a wasteful number, since it uses less digits than its factorization.

22482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22482240 is about 4741.5440523104. The cubic root of 22482240 is about 282.2365100015.

It can be divided in two parts, 22482 and 240, that added together give a palindrome (22722).

The spelling of 22482240 in words is "twenty-two million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2129 2640 3520 4258 5280 6387 8516 10560 10645 12774 17032 21290 23419 25548 31935 34064 42580 46838 51096 63870 68128 70257 85160 93676 102192 117095 127740 136256 140514 170320 187352 204384 234190 255480 281028 340640 351285 374704 408768 468380 510960 562056 681280 702570 749408 936760 1021920 1124112 1405140 1498816 1873520 2043840 2248224 2810280 3747040 4496448 5620560 7494080 11241120 22482240