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226374060 = 223511231181
BaseRepresentation
bin11010111111000…
…11000110101100
3120202221222211110
431133203012230
5430422432220
634243552020
75416101453
oct1537430654
9522858743
10226374060
11106867200
126398b610
1337b8ca63
14220c9b9a
1514d18be0
hexd7e31ac

226374060 has 72 divisors (see below), whose sum is σ = 696730608. Its totient is φ = 54876800.

The previous prime is 226374053. The next prime is 226374067. The reversal of 226374060 is 60473622.

It is an interprime number because it is at equal distance from previous prime (226374053) and next prime (226374067).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (226374067) 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, 8331 + ... + 22850.

It is an arithmetic number, because the mean of its divisors is an integer number (9676814).

Almost surely, 2226374060 is an apocalyptic number.

226374060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226374060 is an abundant number, since it is smaller than the sum of its proper divisors (470356548).

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

226374060 is a wasteful number, since it uses less digits than its factorization.

226374060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31215 (or 31202 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 226374060 is about 15045.7322852695. The cubic root of 226374060 is about 609.4558077716.

The spelling of 226374060 in words is "two hundred twenty-six million, three hundred seventy-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 31181 62362 93543 124724 155905 187086 311810 342991 374172 467715 623620 685982 935430 1028973 1371964 1714955 1870860 2057946 3429910 3772901 4115892 5144865 6859820 7545802 10289730 11318703 15091604 18864505 20579460 22637406 37729010 45274812 56593515 75458020 113187030 226374060