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2540022100 = 2252711329873
BaseRepresentation
bin1001011101100101…
…1010100101010100
320120000111111021121
42113121122211110
520200221201400
61100013253324
7116641555150
oct22731324524
96500444247
102540022100
11109385a220
125aa794244
13316303075
141a14ac060
15eced421a
hex9765a954

2540022100 has 72 divisors (see below), whose sum is σ = 6871935168. Its totient is φ = 791692800.

The previous prime is 2540022091. The next prime is 2540022103. The reversal of 2540022100 is 12200452.

2540022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540022103) 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, 157237 + ... + 172636.

It is an arithmetic number, because the mean of its divisors is an integer number (95443544).

Almost surely, 22540022100 is an apocalyptic number.

2540022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540022100 is an abundant number, since it is smaller than the sum of its proper divisors (4331913068).

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

2540022100 is a wasteful number, since it uses less digits than its factorization.

2540022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329905 (or 329898 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2540022100 is about 50398.6319258767. The cubic root of 2540022100 is about 1364.4129468953.

Adding to 2540022100 its reverse (12200452), we get a palindrome (2552222552).

The spelling of 2540022100 in words is "two billion, five hundred forty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 329873 659746 1319492 1649365 2309111 3298730 3628603 4618222 6597460 7257206 8246825 9236444 11545555 14514412 16493650 18143015 23091110 25400221 32987300 36286030 46182220 50800442 57727775 72572060 90715075 101600884 115455550 127001105 181430150 230911100 254002210 362860300 508004420 635005525 1270011050 2540022100