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2552330000 = 24541123203
BaseRepresentation
bin1001100000100001…
…0111011100010000
320120212122210112202
42120020113130100
520211344030000
61101133142332
7120151306223
oct23010273420
96525583482
102552330000
11109a7a6340
125b292a9a8
13318a2224c
141a2d935ba
15ee115dd5
hex98217710

2552330000 has 100 divisors (see below), whose sum is σ = 6741504528. Its totient is φ = 928080000.

The previous prime is 2552329993. The next prime is 2552330023. The reversal of 2552330000 is 332552.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98399 + ... + 121601.

Almost surely, 22552330000 is an apocalyptic number.

2552330000 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 2552330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370752264).

2552330000 is an abundant number, since it is smaller than the sum of its proper divisors (4189174528).

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

2552330000 is a wasteful number, since it uses less digits than its factorization.

2552330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23242 (or 23221 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2552330000 is about 50520.5898619563. The cubic root of 2552330000 is about 1366.6131911127.

Adding to 2552330000 its reverse (332552), we get a palindrome (2552662552).

The spelling of 2552330000 in words is "two billion, five hundred fifty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 23203 27500 46406 55000 92812 110000 116015 185624 232030 255233 371248 464060 510466 580075 928120 1020932 1160150 1276165 1856240 2041864 2320300 2552330 2900375 4083728 4640600 5104660 5800750 6380825 9281200 10209320 11601500 12761650 14501875 20418640 23203000 25523300 29003750 31904125 46406000 51046600 58007500 63808250 102093200 116015000 127616500 159520625 232030000 255233000 319041250 510466000 638082500 1276165000 2552330000