Search a number
-
+
2228829438 = 2311217419431
BaseRepresentation
bin1000010011011001…
…0011110011111110
312202022221021012110
42010312103303332
514031040020223
61005055314450
7106142511003
oct20466236376
95668837173
102228829438
11a44130600
1252251ba26
132969b68b4
141720238aa
15d0a13d93
hex84d93cfe

2228829438 has 96 divisors (see below), whose sum is σ = 5212408320. Its totient is φ = 632684800.

The previous prime is 2228829391. The next prime is 2228829439. The reversal of 2228829438 is 8349288222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228829439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5171083 + ... + 5171513.

It is an arithmetic number, because the mean of its divisors is an integer number (54295920).

Almost surely, 22228829438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228829438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

2228829438 is an abundant number, since it is smaller than the sum of its proper divisors (2983578882).

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

2228829438 is a wasteful number, since it uses less digits than its factorization.

2228829438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 2228829438 is about 47210.4801712501. The cubic root of 2228829438 is about 1306.2479194796.

The spelling of 2228829438 in words is "two billion, two hundred twenty-eight million, eight hundred twenty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 419 431 561 726 838 862 1122 1257 1293 2057 2514 2586 4114 4609 4741 6171 7123 7327 9218 9482 12342 13827 14223 14246 14654 21369 21981 27654 28446 42738 43962 50699 52151 78353 80597 101398 104302 152097 156453 156706 161194 180589 235059 241791 304194 312906 361178 470118 483582 541767 861883 886567 1083534 1723766 1773134 1986479 2585649 2659701 3070013 3972958 5171298 5319402 5959437 6140026 9210039 11918874 18420078 21851269 33770143 43702538 65553807 67540286 101310429 131107614 202620858 371471573 742943146 1114414719 2228829438