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224233000020 = 223256120421949
BaseRepresentation
bin1101000011010101010…
…1000000110001010100
3210102210011221122010200
43100311111000301110
512133212122000040
6251002231220500
722125463023561
oct3206525006124
9712704848120
10224233000020
1187107756847
123755b217730
13181b6988143
14abd264d868
155c75b3c630
hex3435540c54

224233000020 has 72 divisors (see below), whose sum is σ = 691323851400. Its totient is φ = 58815210240.

The previous prime is 224233000003. The next prime is 224233000087. The reversal of 224233000020 is 20000332422.

224233000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24842172996 + 199390827024 = 157614^2 + 446532^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224232999957 and 224233000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10199995 + ... + 10221954.

Almost surely, 2224233000020 is an apocalyptic number.

224233000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224233000020 is an abundant number, since it is smaller than the sum of its proper divisors (467090851380).

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

224233000020 is a wasteful number, since it uses less digits than its factorization.

224233000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20422025 (or 20422020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 224233000020 its reverse (20000332422), we get a palindrome (244233332442).

The spelling of 224233000020 in words is "two hundred twenty-four billion, two hundred thirty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 20421949 40843898 61265847 81687796 102109745 122531694 183797541 204219490 245063388 306329235 367595082 408438980 612658470 735190164 918987705 1225316940 1245738889 1837975410 2491477778 3675950820 3737216667 4982955556 6228694445 7474433334 11211650001 12457388890 14948866668 18686083335 22423300002 24914777780 37372166670 44846600004 56058250005 74744333340 112116500010 224233000020