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2420132200 = 235276115901
BaseRepresentation
bin1001000001000000…
…0100100101101000
320020122220110020221
42100100010211220
514424023212300
61040051455424
7113654533003
oct22020044550
96218813227
102420132200
111032113162
125765b7574
132c75172b5
1418d5c053a
15e270131a
hex90404968

2420132200 has 48 divisors (see below), whose sum is σ = 5634555660. Its totient is φ = 966720000.

The previous prime is 2420132191. The next prime is 2420132203. The reversal of 2420132200 is 22310242.

It can be written as a sum of positive squares in 6 ways, for example, as 838797444 + 1581334756 = 28962^2 + 39766^2 .

It is not an unprimeable number, because it can be changed into a prime (2420132203) 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, 144250 + ... + 160150.

Almost surely, 22420132200 is an apocalyptic number.

2420132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420132200 is an abundant number, since it is smaller than the sum of its proper divisors (3214423460).

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

2420132200 is a wasteful number, since it uses less digits than its factorization.

2420132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2420132200 is about 49194.8391602209. The cubic root of 2420132200 is about 1342.5991359066.

Adding to 2420132200 its reverse (22310242), we get a palindrome (2442442442).

The spelling of 2420132200 in words is "two billion, four hundred twenty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 761 1522 3044 3805 6088 7610 15220 15901 19025 30440 31802 38050 63604 76100 79505 127208 152200 159010 318020 397525 636040 795050 1590100 3180200 12100661 24201322 48402644 60503305 96805288 121006610 242013220 302516525 484026440 605033050 1210066100 2420132200