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2136226248 = 23321324192
BaseRepresentation
bin111111101010100…
…0011100111001000
312111212200112111200
41333111003213020
513333333214443
6551550424200
7103636423602
oct17725034710
95455615450
102136226248
119a6931442
124b7502060
13280762b00
141639da172
15c7820dd3
hex7f5439c8

2136226248 has 108 divisors (see below), whose sum is σ = 6279881985. Its totient is φ = 655731648.

The previous prime is 2136226243. The next prime is 2136226277. The reversal of 2136226248 is 8426226312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2136226248 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 22 + 624 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1826536644 + 309689604 = 42738^2 + 17598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32682.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2136226243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5098183 + ... + 5098601.

Almost surely, 22136226248 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 2136226248

2136226248 is an abundant number, since it is smaller than the sum of its proper divisors (4143655737).

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

2136226248 is a wasteful number, since it uses less digits than its factorization.

2136226248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 437 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2136226248 is about 46219.3276454775. The cubic root of 2136226248 is about 1287.9008079804.

The spelling of 2136226248 in words is "two billion, one hundred thirty-six million, two hundred twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 419 468 507 676 838 936 1014 1257 1352 1521 1676 2028 2514 3042 3352 3771 4056 5028 5447 6084 7542 10056 10894 12168 15084 16341 21788 30168 32682 43576 49023 65364 70811 98046 130728 141622 175561 196092 212433 283244 351122 392184 424866 526683 566488 637299 702244 849732 1053366 1274598 1404488 1580049 1699464 2106732 2282293 2549196 3160098 4213464 4564586 5098392 6320196 6846879 9129172 12640392 13693758 18258344 20540637 27387516 29669809 41081274 54775032 59339618 82162548 89009427 118679236 164325096 178018854 237358472 267028281 356037708 534056562 712075416 1068113124 2136226248