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2135224440 = 233255931179
BaseRepresentation
bin111111101000100…
…1111000001111000
312111210210122021200
41333101033001320
513333104140230
6551513134200
7103625052066
oct17721170170
95453718250
102135224440
119a63077a8
124b70ba360
132804a1b1b
14163819036
15c76c4160
hex7f44f078

2135224440 has 48 divisors (see below), whose sum is σ = 6939480600. Its totient is φ = 569393088.

The previous prime is 2135224423. The next prime is 2135224459. The reversal of 2135224440 is 444225312.

2135224440 is a `hidden beast` number, since 213 + 5 + 2 + 2 + 4 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2965230 + ... + 2965949.

Almost surely, 22135224440 is an apocalyptic number.

2135224440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135224440 is an abundant number, since it is smaller than the sum of its proper divisors (4804256160).

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

2135224440 is a wasteful number, since it uses less digits than its factorization.

2135224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931196 (or 5931189 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2135224440 is about 46208.4888305168. The cubic root of 2135224440 is about 1287.6994511757.

Adding to 2135224440 its reverse (444225312), we get a palindrome (2579449752).

The spelling of 2135224440 in words is "two billion, one hundred thirty-five million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5931179 11862358 17793537 23724716 29655895 35587074 47449432 53380611 59311790 71174148 88967685 106761222 118623580 142348296 177935370 213522444 237247160 266903055 355870740 427044888 533806110 711741480 1067612220 2135224440