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2323220640 = 253513372311
BaseRepresentation
bin1000101001111001…
…1000100010100000
312222220112211120220
42022132120202200
514224221030030
61022310403040
7111400023006
oct21236304240
95886484526
102323220640
11a92441064
1254a060480
132b0415490
14180794a76
15d8e5ba10
hex8a7988a0

2323220640 has 96 divisors (see below), whose sum is σ = 7881100416. Its totient is φ = 571868160.

The previous prime is 2323220591. The next prime is 2323220651. The reversal of 2323220640 is 460223232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2323220640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179916 + ... + 192395.

It is an arithmetic number, because the mean of its divisors is an integer number (82094796).

Almost surely, 22323220640 is an apocalyptic number.

2323220640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323220640 is an abundant number, since it is smaller than the sum of its proper divisors (5557879776).

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

2323220640 is a wasteful number, since it uses less digits than its factorization.

2323220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372342 (or 372334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2323220640 is about 48199.7991697061. The cubic root of 2323220640 is about 1324.4334855965.

Adding to 2323220640 its reverse (460223232), we get a palindrome (2783443872).

The spelling of 2323220640 in words is "two billion, three hundred twenty-three million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 372311 744622 1116933 1489244 1861555 2233866 2978488 3723110 4467732 4840043 5584665 5956976 7446220 8935464 9680086 11169330 11913952 14520129 14892440 17870928 19360172 22338660 24200215 29040258 29784880 35741856 38720344 44677320 48400430 58080516 59569760 72600645 77440688 89354640 96800860 116161032 145201290 154881376 178709280 193601720 232322064 290402580 387203440 464644128 580805160 774406880 1161610320 2323220640