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199402641 = 365232
BaseRepresentation
bin10111110001010…
…10010010010001
3111220012201000000
423320222102101
5402021341031
631441520213
74640615544
oct1370522221
9456181000
10199402641
11a2615179
1256943069
1332408439
141c6a885b
151278c3e6
hexbe2a491

199402641 has 21 divisors (see below), whose sum is σ = 299539929. Its totient is φ = 132680916.

The previous prime is 199402607. The next prime is 199402661. The reversal of 199402641 is 146204991.

It is a happy number.

The square root of 199402641 is 14121.

It is a perfect power (a square), and thus also a powerful number.

199402641 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 0 + 2 + 641 = 666.

It is not a de Polignac number, because 199402641 - 27 = 199402513 is a prime.

It is a super-2 number, since 2×1994026412 = 79522826475549762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199402596 and 199402605.

It is not an unprimeable number, because it can be changed into a prime (199402661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 381006 + ... + 381528.

Almost surely, 2199402641 is an apocalyptic number.

199402641 is the 14121-st square number.

199402641 is the 7061-st centered octagonal number.

It is an amenable number.

199402641 is a deficient number, since it is larger than the sum of its proper divisors (100137288).

199402641 is an frugal number, since it uses more digits than its factorization.

199402641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 199402641 is about 584.2207375748.

Multiplying 199402641 by its sum of digits (36), we get a square (7178495076 = 847262).

The spelling of 199402641 in words is "one hundred ninety-nine million, four hundred two thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 243 523 729 1569 4707 14121 42363 127089 273529 381267 820587 2461761 7385283 22155849 66467547 199402641