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224614040 = 23572114599
BaseRepresentation
bin11010110001101…
…01011010011000
3120122122120112112
431120311122120
5430000122130
634142131452
75365121300
oct1530653230
9518576475
10224614040
11105874942
1263280b88
13376c4921
1421b8c600
1514abc495
hexd635698

224614040 has 48 divisors (see below), whose sum is σ = 587898000. Its totient is φ = 77009856.

The previous prime is 224614007. The next prime is 224614043. The reversal of 224614040 is 40416422.

224614040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224613997 and 224614015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224614043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55340 + ... + 59259.

It is an arithmetic number, because the mean of its divisors is an integer number (12247875).

Almost surely, 2224614040 is an apocalyptic number.

224614040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224614040 is an abundant number, since it is smaller than the sum of its proper divisors (363283960).

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

224614040 is a wasteful number, since it uses less digits than its factorization.

224614040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114624 (or 114613 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 224614040 is about 14987.1291447028. The cubic root of 224614040 is about 607.8722247072.

The spelling of 224614040 in words is "two hundred twenty-four million, six hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 114599 229198 458396 572995 802193 916792 1145990 1604386 2291980 3208772 4010965 4583960 5615351 6417544 8021930 11230702 16043860 22461404 28076755 32087720 44922808 56153510 112307020 224614040