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228209040 = 24325316957
BaseRepresentation
bin11011001101000…
…11000110010000
3120220102012221200
431212203012100
5431410142130
634351151200
75440513323
oct1546430620
9526365850
10228209040
111078aa914
1264515500
1338383047
14224467ba
151507c760
hexd9a3190

228209040 has 60 divisors (see below), whose sum is σ = 766404444. Its totient is φ = 60855552.

The previous prime is 228209039. The next prime is 228209053. The reversal of 228209040 is 40902822.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 177742224 = 7104^2 + 13332^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 228208995 and 228209013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157759 + ... + 159198.

Almost surely, 2228209040 is an apocalyptic number.

228209040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228209040 is an abundant number, since it is smaller than the sum of its proper divisors (538195404).

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

228209040 is a wasteful number, since it uses less digits than its factorization.

228209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316976 (or 316967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228209040 is about 15106.5892907698. The cubic root of 228209040 is about 611.0981205197.

The spelling of 228209040 in words is "two hundred twenty-eight million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 316957 633914 950871 1267828 1584785 1901742 2535656 2852613 3169570 3803484 4754355 5071312 5705226 6339140 7606968 9508710 11410452 12678280 14263065 15213936 19017420 22820904 25356560 28526130 38034840 45641808 57052260 76069680 114104520 228209040