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228718840 = 23571814513
BaseRepresentation
bin11011010000111…
…11100011111000
3120221101010021011
431220133203320
5432023000330
634410123304
75445035530
oct1550374370
9527333234
10228718840
11108118939
1264720534
13385010bc
142253a4c0
151512d82a
hexda1f8f8

228718840 has 64 divisors (see below), whose sum is σ = 591514560. Its totient is φ = 77967360.

The previous prime is 228718817. The next prime is 228718879. The reversal of 228718840 is 48817822.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 228718793 and 228718802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48424 + ... + 52936.

It is an arithmetic number, because the mean of its divisors is an integer number (9242415).

Almost surely, 2228718840 is an apocalyptic number.

228718840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228718840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295757280).

228718840 is an abundant number, since it is smaller than the sum of its proper divisors (362795720).

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

228718840 is a wasteful number, since it uses less digits than its factorization.

228718840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 228718840 is about 15123.4533093470. The cubic root of 228718840 is about 611.5528295387.

The spelling of 228718840 in words is "two hundred twenty-eight million, seven hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1448 1810 2534 3620 4513 5068 6335 7240 9026 10136 12670 18052 22565 25340 31591 36104 45130 50680 63182 90260 126364 157955 180520 252728 315910 631820 816853 1263640 1633706 3267412 4084265 5717971 6534824 8168530 11435942 16337060 22871884 28589855 32674120 45743768 57179710 114359420 228718840