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221131043432 = 231318127742409
BaseRepresentation
bin1100110111110001101…
…1111111001001101000
3210010210000001220122122
43031330123333021220
512110334021342212
6245330341410412
721655555566425
oct3157433771150
9703700056578
10221131043432
1185865788962
1236a34409a08
1317b11126680
14a9ba6a6d4c
155b43659272
hex337c6ff268

221131043432 has 64 divisors (see below), whose sum is σ = 450613035600. Its totient is φ = 101127813120.

The previous prime is 221131043407. The next prime is 221131043443. The reversal of 221131043432 is 234340131122.

It can be written as a sum of positive squares in 8 ways, for example, as 6211646596 + 214919396836 = 78814^2 + 463594^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5193044 + ... + 5235452.

Almost surely, 2221131043432 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 221131043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225306517800).

221131043432 is an abundant number, since it is smaller than the sum of its proper divisors (229481992168).

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

221131043432 is a wasteful number, since it uses less digits than its factorization.

221131043432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42886 (or 42882 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221131043432 its reverse (234340131122), we get a palindrome (455471174554).

The spelling of 221131043432 in words is "two hundred twenty-one billion, one hundred thirty-one million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 181 277 362 554 724 1108 1448 2216 2353 3601 4706 7202 9412 14404 18824 28808 42409 50137 84818 100274 169636 200548 339272 401096 551317 651781 1102634 1303562 2205268 2607124 4410536 5214248 7676029 11747293 15352058 23494586 30704116 46989172 61408232 93978344 99788377 152714809 199576754 305429618 399153508 610859236 798307016 1221718472 2126260033 4252520066 8505040132 17010080264 27641380429 55282760858 110565521716 221131043432