Search a number
-
+
34221315242232 = 2332532798920889
BaseRepresentation
bin1111100011111110001010…
…10101101011100011111000
311111011112012022001122022200
413301333011111223203320
513441140223200222412
6200441015530550200
710131260044045566
oct761770525534370
9144145168048280
1034221315242232
11a9a41a6340898
123a083a1298360
131613096575401
1486446b620a36
153e52956759dc
hex1f1fc556b8f8

34221315242232 has 48 divisors (see below), whose sum is σ = 92684478744000. Its totient is φ = 11406889700736.

The previous prime is 34221315242221. The next prime is 34221315242243. The reversal of 34221315242232 is 23224251312243.

34221315242232 is a `hidden beast` number, since 3 + 4 + 2 + 213 + 15 + 2 + 422 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34221315242221) and next prime (34221315242243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624357 + ... + 8296532.

It is an arithmetic number, because the mean of its divisors is an integer number (1930926640500).

Almost surely, 234221315242232 is an apocalyptic number.

It is an amenable number.

34221315242232 is an abundant number, since it is smaller than the sum of its proper divisors (58463163501768).

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

34221315242232 is a wasteful number, since it uses less digits than its factorization.

34221315242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974180 (or 8974173 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 34221315242232 its reverse (23224251312243), we get a palindrome (57445566554475).

The spelling of 34221315242232 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred fifteen million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 53279 106558 159837 213116 319674 426232 479511 639348 959022 1278696 1918044 3836088 8920889 17841778 26762667 35683556 53525334 71367112 80288001 107050668 160576002 214101336 321152004 642304008 475296045031 950592090062 1425888135093 1901184180124 2851776270186 3802368360248 4277664405279 5703552540372 8555328810558 11407105080744 17110657621116 34221315242232