Search a number
-
+
22884331040 = 2551722373761
BaseRepresentation
bin10101010100000000…
…110010111000100000
32012001211220110121022
4111110000302320200
5333331342043130
614302442345012
71440044414204
oct252400627040
965054813538
1022884331040
11978367668a
124527abb168
1322091206ac
1411713bcb04
158de0b27e5
hex554032e20

22884331040 has 96 divisors (see below), whose sum is σ = 57285298224. Its totient is φ = 8609136640.

The previous prime is 22884331039. The next prime is 22884331069. The reversal of 22884331040 is 4013348822.

It can be written as a sum of positive squares in 8 ways, for example, as 16056944656 + 6827386384 = 126716^2 + 82628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6082760 + ... + 6086520.

Almost surely, 222884331040 is an apocalyptic number.

22884331040 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 22884331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28642649112).

22884331040 is an abundant number, since it is smaller than the sum of its proper divisors (34400967184).

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

22884331040 is a wasteful number, since it uses less digits than its factorization.

22884331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6030 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 22884331040 its reverse (4013348822), we get a palindrome (26897679862).

The spelling of 22884331040 in words is "twenty-two billion, eight hundred eighty-four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2237 2720 3761 4474 7522 8948 11185 15044 17896 18805 22370 30088 35792 37610 38029 44740 60176 63937 71584 75220 76058 89480 120352 127874 150440 152116 178960 190145 255748 300880 304232 319685 357920 380290 511496 601760 608464 639370 760580 1022992 1216928 1278740 1521160 2045984 2557480 3042320 5114960 6084640 8413357 10229920 16826714 33653428 42066785 67306856 84133570 134613712 143027069 168267140 269227424 286054138 336534280 572108276 673068560 715135345 1144216552 1346137120 1430270690 2288433104 2860541380 4576866208 5721082760 11442165520 22884331040