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2200725140 = 225176472721
BaseRepresentation
bin1000001100101100…
…0110011010010100
312200101001102100112
42003023012122110
514001341201030
61002213102152
7105351566165
oct20313063224
95611042315
102200725140
11a2a285409
12515027958
13290c26733
1416c3c976c
15cd311a95
hex832c6694

2200725140 has 24 divisors (see below), whose sum is σ = 4893377832. Its totient is φ = 828508160.

The previous prime is 2200725113. The next prime is 2200725203. The reversal of 2200725140 is 415270022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156600196 + 2044124944 = 12514^2 + 45212^2 .

It is a super-2 number, since 2×22007251402 = 9686382283656039200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3236021 + ... + 3236700.

It is an arithmetic number, because the mean of its divisors is an integer number (203890743).

Almost surely, 22200725140 is an apocalyptic number.

2200725140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200725140 is an abundant number, since it is smaller than the sum of its proper divisors (2692652692).

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

2200725140 is a wasteful number, since it uses less digits than its factorization.

2200725140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472747 (or 6472745 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 2200725140 is about 46911.8869797411. The cubic root of 2200725140 is about 1300.7343267425.

Adding to 2200725140 its reverse (415270022), we get a palindrome (2615995162).

It can be divided in two parts, 2 and 200725140, that multiplied together give a triangular number (401450280 = T28335).

The spelling of 2200725140 in words is "two billion, two hundred million, seven hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6472721 12945442 25890884 32363605 64727210 110036257 129454420 220072514 440145028 550181285 1100362570 2200725140