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200404220220224 = 267342894738917
BaseRepresentation
bin101101100100010000111110…
…010110111001001101000000
3222021120110022200021211100222
4231210100332112321031000
5202231410320334021344
61550120232223402212
760132504253433546
oct5544207626711500
9867513280254328
10200404220220224
1158944a52872659
121a58781ba53368
1387a9063035647
14376b88a4a3d96
151827e9120d5ee
hexb6443e5b9340

200404220220224 has 28 divisors (see below), whose sum is σ = 403124756351364. Its totient is φ = 98829478462464.

The previous prime is 200404220220223. The next prime is 200404220220313. The reversal of 200404220220224 is 422022022404002.

It can be written as a sum of positive squares in 2 ways, for example, as 36245601466624 + 164158618753600 = 6020432^2 + 12812440^2 .

It is a super-2 number, since 2×2004042202202242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200404220220193 and 200404220220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200404220220221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21447364787 + ... + 21447374130.

Almost surely, 2200404220220224 is an apocalyptic number.

It is an amenable number.

200404220220224 is an abundant number, since it is smaller than the sum of its proper divisors (202720536131140).

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

200404220220224 is an equidigital number, since it uses as much as digits as its factorization.

200404220220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42894739002 (or 42894738992 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 200404220220224 its reverse (422022022404002), we get a palindrome (622426242624226).

The spelling of 200404220220224 in words is "two hundred trillion, four hundred four billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 42894738917 85789477834 171578955668 343157911336 686315822672 1372631645344 2745263290688 3131315940941 6262631881882 12525263763764 25050527527528 50101055055056 100202110110112 200404220220224