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2230505400 = 2335217218677
BaseRepresentation
bin1000010011110010…
…1100111110111000
312202110002102012010
42010330230332320
514032002133100
61005155245520
7106162661124
oct20474547670
95673072163
102230505400
11a450757a2
12522ba98a0
132971526a6
1417233c584
15d0c45750
hex84f2cfb8

2230505400 has 96 divisors (see below), whose sum is σ = 7321339440. Its totient is φ = 559810560.

The previous prime is 2230505393. The next prime is 2230505401. The reversal of 2230505400 is 45050322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99139 + ... + 119538.

Almost surely, 22230505400 is an apocalyptic number.

2230505400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230505400 is an abundant number, since it is smaller than the sum of its proper divisors (5090834040).

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

2230505400 is a wasteful number, since it uses less digits than its factorization.

2230505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218713 (or 218704 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2230505400 is about 47228.2267293618. The cubic root of 2230505400 is about 1306.5752472600.

Adding to 2230505400 its reverse (45050322), we get a palindrome (2275555722).

The spelling of 2230505400 in words is "two billion, two hundred thirty million, five hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 218677 437354 656031 874708 1093385 1312062 1749416 2186770 2624124 3280155 3717509 4373540 5248248 5466925 6560310 7435018 8747080 10933850 11152527 13120620 14870036 16400775 18587545 21867700 22305054 26241240 29740072 32801550 37175090 43735400 44610108 55762635 65603100 74350180 89220216 92937725 111525270 131206200 148700360 185875450 223050540 278813175 371750900 446101080 557626350 743501800 1115252700 2230505400