Search a number
-
+
2206902744 = 2332192197431
BaseRepresentation
bin1000001110001010…
…1010100111011000
312200210200021102200
42003202222213120
514004431341434
61002553330200
7105455235534
oct20342524730
95623607380
102206902744
11a32814772
12517106960
132922aa517
1416d156bc4
15cdb32199
hex838aa9d8

2206902744 has 144 divisors (see below), whose sum is σ = 6354897120. Its totient is φ = 691770240.

The previous prime is 2206902743. The next prime is 2206902751. The reversal of 2206902744 is 4472096022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2206902699 and 2206902708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206902743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5120209 + ... + 5120639.

It is an arithmetic number, because the mean of its divisors is an integer number (44131230).

Almost surely, 22206902744 is an apocalyptic number.

2206902744 is a gapful number since it is divisible by the number (24) 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 2206902744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177448560).

2206902744 is an abundant number, since it is smaller than the sum of its proper divisors (4147994376).

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

2206902744 is a wasteful number, since it uses less digits than its factorization.

2206902744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2206902744 is about 46977.6834677914. The cubic root of 2206902744 is about 1301.9502766516.

Adding to 2206902744 its reverse (4472096022), we get a palindrome (6678998766).

The spelling of 2206902744 in words is "two billion, two hundred six million, nine hundred two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 197 228 342 361 394 431 456 591 684 722 788 862 1083 1182 1293 1368 1444 1576 1724 1773 2166 2364 2586 2888 3249 3448 3546 3743 3879 4332 4728 5172 6498 7092 7486 7758 8189 8664 10344 11229 12996 14184 14972 15516 16378 22458 24567 25992 29944 31032 32756 33687 44916 49134 65512 67374 71117 73701 84907 89832 98268 134748 142234 147402 155591 169814 196536 213351 254721 269496 284468 294804 311182 339628 426702 466773 509442 568936 589608 622364 640053 679256 764163 853404 933546 1018884 1244728 1280106 1400319 1528326 1613233 1706808 1867092 2037768 2560212 2800638 3056652 3226466 3734184 4839699 5120424 5601276 6113304 6452932 9679398 11202552 12905864 14519097 19358796 29038194 30651427 38717592 58076388 61302854 91954281 116152776 122605708 183908562 245211416 275862843 367817124 551725686 735634248 1103451372 2206902744