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201899246224 = 2413286412
BaseRepresentation
bin1011110000001000100…
…0100000001010010000
3201022010201001101112011
42330002020200022100
511301442201334344
6232430133312304
720405152164004
oct2740210401220
9638121041464
10201899246224
1178696951a85
1233167795694
131606794a900
149ab4430704
1553ba083d34
hex2f02220290

201899246224 has 45 divisors (see below), whose sum is σ = 423634241979. Its totient is φ = 93173483520.

The previous prime is 201899246207. The next prime is 201899246239. The reversal of 201899246224 is 422642998102.

The square root of 201899246224 is 449332.

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

It can be written as a sum of positive squares in 4 ways, for example, as 144506419600 + 57392826624 = 380140^2 + 239568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23360944 + ... + 23369584.

Almost surely, 2201899246224 is an apocalyptic number.

201899246224 is the 449332-nd square number.

It is an amenable number.

201899246224 is an abundant number, since it is smaller than the sum of its proper divisors (221734995755).

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

201899246224 is an frugal number, since it uses more digits than its factorization.

201899246224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 201899246224 by its sum of digits (49), we get a square (9893063064976 = 31453242).

The spelling of 201899246224 in words is "two hundred one billion, eight hundred ninety-nine million, two hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 8641 17282 34564 69128 112333 138256 224666 449332 898664 1460329 1797328 2920658 5841316 11682632 23365264 74666881 149333762 298667524 597335048 970669453 1194670096 1941338906 3882677812 7765355624 12618702889 15530711248 25237405778 50474811556 100949623112 201899246224