Search a number
-
+
35220132332 = 227111311675227
BaseRepresentation
bin100000110011010010…
…001001000111101100
310100220112220002201122
4200303102021013230
51034112323213312
624102505400112
72354534120360
oct406322110754
9110815802648
1035220132332
1113a33934790
1269ab199038
133423a096b8
1419c184d2a0
15db2064b72
hex8334891ec

35220132332 has 96 divisors (see below), whose sum is σ = 77909078016. Its totient is φ = 13533249600.

The previous prime is 35220132329. The next prime is 35220132341. The reversal of 35220132332 is 23323102253.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6735503 + ... + 6740729.

It is an arithmetic number, because the mean of its divisors is an integer number (811552896).

Almost surely, 235220132332 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 35220132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38954539008).

35220132332 is an abundant number, since it is smaller than the sum of its proper divisors (42688945684).

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

35220132332 is a wasteful number, since it uses less digits than its factorization.

35220132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 35220132332 its reverse (23323102253), we get a palindrome (58543234585).

The spelling of 35220132332 in words is "thirty-five billion, two hundred twenty million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 167 262 308 334 524 668 917 1169 1441 1834 1837 2338 2882 3668 3674 4676 5227 5764 7348 10087 10454 12859 20174 20908 21877 25718 36589 40348 43754 51436 57497 73178 87508 114994 146356 153139 229988 240647 306278 402479 481294 612556 684737 804958 872909 962588 1369474 1609916 1684529 1745818 2738948 3369058 3491636 4793159 6110363 6738116 7532107 9586318 9601999 12220726 15064214 19172636 19203998 24441452 30128428 38407996 52724749 67213993 105449498 114351079 134427986 210898996 228702158 268855972 457404316 800457553 1257861869 1600915106 2515723738 3201830212 5031447476 8805033083 17610066166 35220132332