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2525243220 = 2232518177509
BaseRepresentation
bin1001011010000100…
…0010011101010100
320111222200122110200
42112201002131110
520132430240340
61054324420500
7116402133063
oct22641023524
96458618420
102525243220
111086485675
125a5847730
1331322a276
1419d5421da
15eba65330
hex96842754

2525243220 has 72 divisors (see below), whose sum is σ = 7702323720. Its totient is φ = 669669120.

The previous prime is 2525243159. The next prime is 2525243233. The reversal of 2525243220 is 223425252.

It can be written as a sum of positive squares in 4 ways, for example, as 250525584 + 2274717636 = 15828^2 + 47694^2 .

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175 + ... + 71334.

Almost surely, 22525243220 is an apocalyptic number.

2525243220 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 2525243220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851161860).

2525243220 is an abundant number, since it is smaller than the sum of its proper divisors (5177080500).

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

2525243220 is a wasteful number, since it uses less digits than its factorization.

2525243220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77705 (or 77700 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2525243220 is about 50251.7981767817. The cubic root of 2525243220 is about 1361.7615617586.

Adding to 2525243220 its reverse (223425252), we get a palindrome (2748668472).

The spelling of 2525243220 in words is "two billion, five hundred twenty-five million, two hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 77509 155018 232527 310036 387545 465054 697581 775090 930108 1162635 1395162 1550180 2325270 2790324 3487905 4650540 6975810 13951620 14029129 28058258 42087387 56116516 70145645 84174774 126262161 140291290 168349548 210436935 252524322 280582580 420873870 505048644 631310805 841747740 1262621610 2525243220