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2155422400 = 26526532063
BaseRepresentation
bin1000000001111001…
…0010001011000000
312120012210210200021
42000132102023000
513403242004100
6553514103224
7104261534215
oct20036221300
95505723607
102155422400
11a0675282a
12501a1ab14
13284724391
14166395b0c
15c9363a1a
hex807922c0

2155422400 has 84 divisors (see below), whose sum is σ = 5314383072. Its totient is φ = 860431360.

The previous prime is 2155422359. The next prime is 2155422403. The reversal of 2155422400 is 42245512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2155422403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043769 + ... + 1045831.

Almost surely, 22155422400 is an apocalyptic number.

2155422400 is a gapful number since it is divisible by the number (20) 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 2155422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657191536).

2155422400 is an abundant number, since it is smaller than the sum of its proper divisors (3158960672).

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

2155422400 is a wasteful number, since it uses less digits than its factorization.

2155422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2155422400 is about 46426.5269000385. The cubic root of 2155422400 is about 1291.7470070504.

Adding to 2155422400 its reverse (42245512), we get a palindrome (2197667912).

The spelling of 2155422400 in words is "two billion, one hundred fifty-five million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 653 800 1306 1600 2063 2612 3265 4126 5224 6530 8252 10315 10448 13060 16325 16504 20630 20896 26120 32650 33008 41260 41792 51575 52240 65300 66016 82520 103150 104480 130600 132032 165040 206300 208960 261200 330080 412600 522400 660160 825200 1044800 1347139 1650400 2694278 3300800 5388556 6735695 10777112 13471390 21554224 26942780 33678475 43108448 53885560 67356950 86216896 107771120 134713900 215542240 269427800 431084480 538855600 1077711200 2155422400