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224132040 = 233251156599
BaseRepresentation
bin11010101101111…
…11101111001000
3120121202002100200
431112333233020
5424334211130
634123532200
75361043116
oct1526775710
9517662320
10224132040
111055757a0
126308a060
1337586412
1421aa4ab6
1514a24760
hexd5bfbc8

224132040 has 96 divisors (see below), whose sum is σ = 794664000. Its totient is φ = 54334080.

The previous prime is 224132021. The next prime is 224132047. The reversal of 224132040 is 40231422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224132047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24340 + ... + 32259.

It is an arithmetic number, because the mean of its divisors is an integer number (8277750).

Almost surely, 2224132040 is an apocalyptic number.

224132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224132040 is an abundant number, since it is smaller than the sum of its proper divisors (570531960).

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

224132040 is a wasteful number, since it uses less digits than its factorization.

224132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56627 (or 56620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224132040 is about 14971.0400440317. The cubic root of 224132040 is about 607.4371016524.

Adding to 224132040 its reverse (40231422), we get a palindrome (264363462).

The spelling of 224132040 in words is "two hundred twenty-four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 56599 113198 169797 226396 282995 339594 452792 509391 565990 622589 679188 848985 1018782 1131980 1245178 1358376 1697970 1867767 2037564 2263960 2490356 2546955 3112945 3395940 3735534 4075128 4980712 5093910 5603301 6225890 6791880 7471068 9338835 10187820 11206602 12451780 14942136 18677670 20375640 22413204 24903560 28016505 37355340 44826408 56033010 74710680 112066020 224132040