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228753300 = 223525314387
BaseRepresentation
bin11011010001001…
…11111110010100
3120221102212112110
431220213332110
5432030101200
634410551020
75445241146
oct1550477624
9527385473
10228753300
11108141816
1264738470
13385139a9
1422548c96
1515138b50
hexda27f94

228753300 has 72 divisors (see below), whose sum is σ = 674394336. Its totient is φ = 59845760.

The previous prime is 228753263. The next prime is 228753323. The reversal of 228753300 is 3357822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8707 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (9366588).

Almost surely, 2228753300 is an apocalyptic number.

228753300 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 228753300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337197168).

228753300 is an abundant number, since it is smaller than the sum of its proper divisors (445641036).

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

228753300 is a wasteful number, since it uses less digits than its factorization.

228753300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 228753300 is about 15124.5925564955. The cubic root of 228753300 is about 611.5835412664.

The spelling of 228753300 in words is "two hundred twenty-eight million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 14387 15900 28774 43161 57548 71935 86322 143870 172644 215805 287740 359675 431610 719350 762511 863220 1079025 1438700 1525022 2158050 2287533 3050044 3812555 4316100 4575066 7625110 9150132 11437665 15250220 19062775 22875330 38125550 45750660 57188325 76251100 114376650 228753300