Search a number
-
+
203212222432 = 25191123297623
BaseRepresentation
bin1011110101000001100…
…1000110111111100000
3201102112012122111021121
42331100121012333200
511312134312104212
6233204315102024
720452534250662
oct2752031067740
9642465574247
10203212222432
117920000248a
1233473441914
1316216979ccb
149b9a96c532
155445488d07
hex2f50646fe0

203212222432 has 48 divisors (see below), whose sum is σ = 421507013760. Its totient is φ = 96172382592.

The previous prime is 203212222403. The next prime is 203212222457. The reversal of 203212222432 is 234222212302.

203212222432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203212222397 and 203212222406.

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 7 ways as a sum of consecutive naturals, for example, 533973 + ... + 831595.

It is an arithmetic number, because the mean of its divisors is an integer number (8781396120).

Almost surely, 2203212222432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203212222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210753506880).

203212222432 is an abundant number, since it is smaller than the sum of its proper divisors (218294791328).

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

203212222432 is a wasteful number, since it uses less digits than its factorization.

203212222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298775 (or 298767 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 203212222432 its reverse (234222212302), we get a palindrome (437434434734).

The spelling of 203212222432 in words is "two hundred three billion, two hundred twelve million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1123 2246 4492 8984 17968 21337 35936 42674 85348 170696 297623 341392 595246 682784 1190492 2380984 4761968 5654837 9523936 11309674 22619348 45238696 90477392 180954784 334230629 668461258 1336922516 2673845032 5347690064 6350381951 10695380128 12700763902 25401527804 50803055608 101606111216 203212222432