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228144740 = 22529592113
BaseRepresentation
bin11011001100100…
…11011001100100
3120220021221202012
431212103121210
5431401112430
634345533352
75440125005
oct1546233144
9526257665
10228144740
1110786657a
12644a4258
133835c9b5
142242b1ac
1515068695
hexd993664

228144740 has 72 divisors (see below), whose sum is σ = 508629240. Its totient is φ = 85851136.

The previous prime is 228144727. The next prime is 228144767. The reversal of 228144740 is 47441822.

228144740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 228130816 = 118^2 + 15104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 228144697 and 228144706.

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, 2018924 + ... + 2019036.

It is an arithmetic number, because the mean of its divisors is an integer number (7064295).

Almost surely, 2228144740 is an apocalyptic number.

228144740 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 228144740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254314620).

228144740 is an abundant number, since it is smaller than the sum of its proper divisors (280484500).

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

228144740 is a wasteful number, since it uses less digits than its factorization.

228144740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 228144740 is about 15104.4609304669. The cubic root of 228144740 is about 611.0407209528.

The spelling of 228144740 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 113 116 118 145 226 236 290 295 452 565 580 590 1130 1180 1711 2260 3277 3422 3481 6554 6667 6844 6962 8555 13108 13334 13924 16385 17110 17405 26668 32770 33335 34220 34810 65540 66670 69620 100949 133340 193343 201898 386686 393353 403796 504745 773372 786706 966715 1009490 1573412 1933430 1966765 2018980 3866860 3933530 7867060 11407237 22814474 45628948 57036185 114072370 228144740