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115331220 = 223253717317
BaseRepresentation
bin1101101111111…
…01000010010100
322001000102200200
412313331002110
5214011044340
615235540500
72600204424
oct667750224
9261012620
10115331220
115a113064
123275a730
131ab80b34
1411462484
15a1d2330
hex6dfd094

115331220 has 72 divisors (see below), whose sum is σ = 359313864. Its totient is φ = 29922048.

The previous prime is 115331207. The next prime is 115331243. The reversal of 115331220 is 22133511.

115331220 is a `hidden beast` number, since 11 + 533 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 62536464 = 7266^2 + 7908^2 .

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 = 115331193 and 115331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999 + ... + 15318.

Almost surely, 2115331220 is an apocalyptic number.

115331220 is a gapful number since it is divisible by the number (10) 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 115331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179656932).

115331220 is an abundant number, since it is smaller than the sum of its proper divisors (243982644).

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

115331220 is a wasteful number, since it uses less digits than its factorization.

115331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 115331220 is about 10739.2374030934. The cubic root of 115331220 is about 486.7608364298.

Adding to 115331220 its reverse (22133511), we get a palindrome (137464731).

The spelling of 115331220 in words is "one hundred fifteen million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 17317 34634 51951 69268 86585 103902 155853 173170 207804 259755 311706 346340 519510 623412 640729 779265 1039020 1281458 1558530 1922187 2562916 3117060 3203645 3844374 5766561 6407290 7688748 9610935 11533122 12814580 19221870 23066244 28832805 38443740 57665610 115331220