Search a number
-
+
22440040320 = 273511687521
BaseRepresentation
bin10100111001100001…
…111101011110000000
32010220212220011022110
4110321201331132000
5331424122242240
614150411535320
71423041124035
oct247141753600
963825804273
1022440040320
1195758aa475
12442315a540
132168072589
14112c3a938c
158b50a0c80
hex53987d780

22440040320 has 64 divisors (see below), whose sum is σ = 71527634640. Its totient is φ = 5984010240.

The previous prime is 22440040309. The next prime is 22440040351. The reversal of 22440040320 is 2304004422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5841841 + ... + 5845680.

Almost surely, 222440040320 is an apocalyptic number.

22440040320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22440040320 is an abundant number, since it is smaller than the sum of its proper divisors (49087594320).

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

22440040320 is a wasteful number, since it uses less digits than its factorization.

22440040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687543 (or 11687531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 22440040320 its reverse (2304004422), we get a palindrome (24744044742).

The spelling of 22440040320 in words is "twenty-two billion, four hundred forty million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 11687521 23375042 35062563 46750084 58437605 70125126 93500168 116875210 140250252 175312815 187000336 233750420 280500504 350625630 374000672 467500840 561001008 701251260 748001344 935001680 1122002016 1402502520 1496002688 1870003360 2244004032 2805005040 3740006720 4488008064 5610010080 7480013440 11220020160 22440040320