Search a number
-
+
222000402420 = 223251233335569
BaseRepresentation
bin1100111011000001000…
…0010100111111110100
3210020000120220220222200
43032300100110333310
512114124100334140
6245552515024500
722016243166636
oct3166020247764
9706016826880
10222000402420
1186171492165
123703759b130
1317c1c282384
14aa5dd28a56
155b94b32030
hex33b0414ff4

222000402420 has 36 divisors (see below), whose sum is σ = 673401221220. Its totient is φ = 59200107264.

The previous prime is 222000402391. The next prime is 222000402443. The reversal of 222000402420 is 24204000222.

222000402420 is a `hidden beast` number, since 2 + 2 + 200 + 0 + 40 + 2 + 420 = 666.

222000402420 is digitally balanced in base 2, 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 2 ways, for example, as 174034146276 + 47966256144 = 417174^2 + 219012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 222000402393 and 222000402402.

It is a congruent number.

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, 616667605 + ... + 616667964.

Almost surely, 2222000402420 is an apocalyptic number.

222000402420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222000402420 is an abundant number, since it is smaller than the sum of its proper divisors (451400818800).

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

222000402420 is a wasteful number, since it uses less digits than its factorization.

222000402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233335584 (or 1233335579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 222000402420 its reverse (24204000222), we get a palindrome (246204402642).

The spelling of 222000402420 in words is "two hundred twenty-two billion, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1233335569 2466671138 3700006707 4933342276 6166677845 7400013414 11100020121 12333355690 14800026828 18500033535 22200040242 24666711380 37000067070 44400080484 55500100605 74000134140 111000201210 222000402420