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60228224 = 27767219
BaseRepresentation
bin1110010111000…
…0001010000000
311012022220120222
43211300022000
5110404300344
65550522212
71330634330
oct345601200
9135286528
1060228224
1130aa73a1
1218206368
13c629b04
147ddb0c0
15544a5ee
hex3970280

60228224 has 32 divisors (see below), whose sum is σ = 137128800. Its totient is φ = 25811712.

The previous prime is 60228211. The next prime is 60228241. The reversal of 60228224 is 42282206.

60228224 = T357 + T358 + ... + T740.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 60228193 and 60228202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32714 + ... + 34505.

It is an arithmetic number, because the mean of its divisors is an integer number (4285275).

Almost surely, 260228224 is an apocalyptic number.

60228224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

60228224 is an abundant number, since it is smaller than the sum of its proper divisors (76900576).

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

60228224 is an equidigital number, since it uses as much as digits as its factorization.

60228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67240 (or 67228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 60228224 is about 7760.6845058925. The cubic root of 60228224 is about 391.9825065080.

The spelling of 60228224 in words is "sixty million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 67219 134438 268876 470533 537752 941066 1075504 1882132 2151008 3764264 4302016 7528528 8604032 15057056 30114112 60228224