Search a number
-
+
202022032032 = 25321936919231
BaseRepresentation
bin1011110000100101110…
…0111001001010100000
3201022110021002112222200
42330021130321022200
511302220120011112
6232450241133200
720411202640062
oct2741134711240
9638407075880
10202022032032
117874a196857
12331a092a200
131608720b832
149ac6873732
1553c5c39cdc
hex2f097392a0

202022032032 has 72 divisors (see below), whose sum is σ = 604737020160. Its totient is φ = 63796429440.

The previous prime is 202022032027. The next prime is 202022032049. The reversal of 202022032032 is 230230220202.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 202022031996 and 202022032014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18454144 + ... + 18465087.

It is an arithmetic number, because the mean of its divisors is an integer number (8399125280).

Almost surely, 2202022032032 is an apocalyptic number.

It is an amenable number.

202022032032 is an abundant number, since it is smaller than the sum of its proper divisors (402714988128).

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

202022032032 is a wasteful number, since it uses less digits than its factorization.

202022032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36919266 (or 36919255 counting only the distinct ones).

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

Adding to 202022032032 its reverse (230230220202), we get a palindrome (432252252234).

The spelling of 202022032032 in words is "two hundred two billion, twenty-two million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 36919231 73838462 110757693 147676924 221515386 295353848 332273079 443030772 590707696 664546158 701465389 886061544 1181415392 1329092316 1402930778 1772123088 2104396167 2658184632 2805861556 3544246176 4208792334 5316369264 5611723112 6313188501 8417584668 10632738528 11223446224 12626377002 16835169336 22446892448 25252754004 33670338672 50505508008 67340677344 101011016016 202022032032