Search a number
-
+
22022002420400 = 245295875742673
BaseRepresentation
bin1010000000111011001011…
…01000011010101010110000
32212222021122012202010021002
411000131211220122222300
510341302030104423100
6114500433535221132
74432015515016133
oct500354550325260
985867565663232
1022022002420400
11702052a287a34
1225780180777a8
13c39887036978
14561c28d1c21a
15282c997be2d5
hex140765a1aab0

22022002420400 has 60 divisors (see below), whose sum is σ = 52913388737832. Its totient is φ = 8807880606720.

The previous prime is 22022002420393. The next prime is 22022002420469. The reversal of 22022002420400 is 402420022022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963464 + ... + 6706136.

Almost surely, 222022002420400 is an apocalyptic number.

22022002420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022002420400 is an abundant number, since it is smaller than the sum of its proper divisors (30891386317432).

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

22022002420400 is a wasteful number, since it uses less digits than its factorization.

22022002420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752278 (or 5752267 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22022002420400 its reverse (402420022022), we get a palindrome (22424422442422).

The spelling of 22022002420400 in words is "twenty-two trillion, twenty-two billion, two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9587 19174 38348 47935 76696 95870 153392 191740 239675 383480 479350 766960 958700 1917400 3834800 5742673 11485346 22970692 28713365 45941384 57426730 91882768 114853460 143566825 229706920 287133650 459413840 574267300 1148534600 2297069200 55055006051 110110012102 220220024204 275275030255 440440048408 550550060510 880880096816 1101100121020 1376375151275 2202200242040 2752750302550 4404400484080 5505500605100 11011001210200 22022002420400