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115222032 = 24327397113
BaseRepresentation
bin1101101111000…
…10011000010000
322000210212220200
412313202120100
5213444101112
615233335200
72566241202
oct667423020
9260725820
10115222032
115a049022
1232707500
131ab43223
1411434772
15a1aecdc
hex6de2610

115222032 has 120 divisors (see below), whose sum is σ = 333171384. Its totient is φ = 37158912.

The previous prime is 115222031. The next prime is 115222049. The reversal of 115222032 is 230222511.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 114575616 = 804^2 + 10704^2 .

It is a super-2 number, since 2×1152220322 = 26552233316418048, which contains 22 as substring.

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 = 115221996 and 115222014.

It is not an unprimeable number, because it can be changed into a prime (115222031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019608 + ... + 1019720.

Almost surely, 2115222032 is an apocalyptic number.

115222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166585692).

115222032 is an abundant number, since it is smaller than the sum of its proper divisors (217949352).

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

115222032 is a wasteful number, since it uses less digits than its factorization.

115222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 115222032 is about 10734.1525981327. The cubic root of 115222032 is about 486.6071768988.

Adding to 115222032 its reverse (230222511), we get a palindrome (345444543).

The spelling of 115222032 in words is "one hundred fifteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 97 113 144 146 194 219 226 291 292 339 388 438 452 582 584 657 678 776 873 876 904 1017 1164 1168 1314 1356 1552 1746 1752 1808 2034 2328 2628 2712 3492 3504 4068 4656 5256 5424 6984 7081 8136 8249 10512 10961 13968 14162 16272 16498 21243 21922 24747 28324 32883 32996 42486 43844 49494 56648 63729 65766 65992 74241 84972 87688 98649 98988 113296 127458 131532 131984 148482 169944 175376 197298 197976 254916 263064 296964 339888 394596 395952 509832 526128 593928 789192 800153 1019664 1187856 1578384 1600306 2400459 3200612 4800918 6401224 7201377 9601836 12802448 14402754 19203672 28805508 38407344 57611016 115222032