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224040022420 = 225232573076173
BaseRepresentation
bin1101000010100111010…
…0110111000110010100
3210102021201211100122011
43100221310313012110
512132313221204140
6250531135114004
722120630524634
oct3205164670624
9712251740564
10224040022420
118701882a925
1237506672904
13181859bc306
14abb4b786c4
155c63c1dcea
hex3429d37194

224040022420 has 96 divisors (see below), whose sum is σ = 494535621888. Its totient is φ = 85094203392.

The previous prime is 224040022403. The next prime is 224040022471. The reversal of 224040022420 is 24220040422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224040022391 and 224040022400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36290454 + ... + 36296626.

It is an arithmetic number, because the mean of its divisors is an integer number (5151412728).

Almost surely, 2224040022420 is an apocalyptic number.

224040022420 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 224040022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247267810944).

224040022420 is an abundant number, since it is smaller than the sum of its proper divisors (270495599468).

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

224040022420 is a wasteful number, since it uses less digits than its factorization.

224040022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 224040022420 its reverse (24220040422), we get a palindrome (248260062842).

The spelling of 224040022420 in words is "two hundred twenty-four billion, forty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 257 307 460 514 614 1028 1228 1285 1535 2570 3070 5140 5911 6140 6173 7061 11822 12346 14122 23644 24692 28244 29555 30865 35305 59110 61730 70610 78899 118220 123460 141220 141979 157798 283958 315596 394495 567916 709895 788990 1419790 1577980 1586461 1814677 1895111 2839580 3172922 3629354 3790222 6345844 7258708 7580444 7932305 9073385 9475555 15864610 18146770 18951110 31729220 36293540 36488603 37902220 43587553 72977206 87175106 145954412 174350212 182443015 217937765 364886030 435875530 487043527 729772060 871751060 974087054 1948174108 2435217635 4870435270 9740870540 11202001121 22404002242 44808004484 56010005605 112020011210 224040022420