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228241600 = 2652294919
BaseRepresentation
bin11011001101010…
…11000011000000
3120220110212121121
431212223003000
5431412212400
634352002024
75441010256
oct1546530300
9526425547
10228241600
11107922324
1264530314
1338394b02
14224545d6
151508721a
hexd9ab0c0

228241600 has 84 divisors (see below), whose sum is σ = 581101200. Its totient is φ = 88130560.

The previous prime is 228241591. The next prime is 228241603. The reversal of 228241600 is 6142822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (228241603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43941 + ... + 48859.

Almost surely, 2228241600 is an apocalyptic number.

228241600 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 228241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290550600).

228241600 is an abundant number, since it is smaller than the sum of its proper divisors (352859600).

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

228241600 is a wasteful number, since it uses less digits than its factorization.

228241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 228241600 is about 15107.6669277556. Note that the first 3 decimals coincide. The cubic root of 228241600 is about 611.1271821914.

The spelling of 228241600 in words is "two hundred twenty-eight million, two hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 4919 5800 9280 9838 11600 19676 23200 24595 39352 46400 49190 78704 98380 122975 142651 157408 196760 245950 285302 314816 393520 491900 570604 713255 787040 983800 1141208 1426510 1574080 1967600 2282416 2853020 3566275 3935200 4564832 5706040 7132550 7870400 9129664 11412080 14265100 22824160 28530200 45648320 57060400 114120800 228241600