Search a number
-
+
228157800 = 233521329251
BaseRepresentation
bin11011001100101…
…10100101101000
3120220022121122220
431212112211220
5431402022200
634350114040
75440211043
oct1546264550
9526277586
10228157800
11107875372
12644ab920
1338365920
1422431c5a
151506c4a0
hexd996968

228157800 has 96 divisors (see below), whose sum is σ = 761722080. Its totient is φ = 56160000.

The previous prime is 228157781. The next prime is 228157807. The reversal of 228157800 is 8751822.

228157800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228157807) 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, 6826 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (7934605).

Almost surely, 2228157800 is an apocalyptic number.

228157800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228157800 is an abundant number, since it is smaller than the sum of its proper divisors (533564280).

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

228157800 is a wasteful number, since it uses less digits than its factorization.

228157800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29283 (or 29274 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 228157800 is about 15104.8932468919. The cubic root of 228157800 is about 611.0523802757.

The spelling of 228157800 in words is "two hundred twenty-eight million, one hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 29251 58502 87753 117004 146255 175506 234008 292510 351012 380263 438765 585020 702024 731275 760526 877530 1140789 1170040 1462550 1521052 1755060 1901315 2193825 2281578 2925100 3042104 3510120 3802630 4387650 4563156 5703945 5850200 7605260 8775300 9126312 9506575 11407890 15210520 17550600 19013150 22815780 28519725 38026300 45631560 57039450 76052600 114078900 228157800