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2264103240 = 233576134397
BaseRepresentation
bin1000011011110011…
…0111100101001000
312211210022100202120
42012330313211020
514114102300430
61012355331240
7110051363040
oct20674674510
95753270676
102264103240
11a62033303
125322b0b20
132a10b7179
141769a6720
15d3b80610
hex86f37948

2264103240 has 128 divisors (see below), whose sum is σ = 7777071360. Its totient is φ = 516547584.

The previous prime is 2264103239. The next prime is 2264103241. The reversal of 2264103240 is 423014622.

2264103240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2264103239) and next prime (2264103241).

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 2264103240.

It is not an unprimeable number, because it can be changed into a prime (2264103241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512722 + ... + 517118.

It is an arithmetic number, because the mean of its divisors is an integer number (60758370).

Almost surely, 22264103240 is an apocalyptic number.

2264103240 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 2264103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888535680).

2264103240 is an abundant number, since it is smaller than the sum of its proper divisors (5512968120).

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

2264103240 is a wasteful number, since it uses less digits than its factorization.

2264103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264103240 is about 47582.5938763326. The cubic root of 2264103240 is about 1313.1028443350.

Adding to 2264103240 its reverse (423014622), we get a palindrome (2687117862).

The spelling of 2264103240 in words is "two billion, two hundred sixty-four million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 613 840 1226 1839 2452 3065 3678 4291 4397 4904 6130 7356 8582 8794 9195 12260 12873 13191 14712 17164 17588 18390 21455 21985 24520 25746 26382 30779 34328 35176 36780 42910 43970 51492 52764 61558 64365 65955 73560 85820 87940 92337 102984 105528 123116 128730 131910 153895 171640 175880 184674 246232 257460 263820 307790 369348 461685 514920 527640 615580 738696 923370 1231160 1846740 2695361 3693480 5390722 8086083 10781444 13476805 16172166 18867527 21562888 26953610 32344332 37735054 40430415 53907220 56602581 64688664 75470108 80860830 94337635 107814440 113205162 150940216 161721660 188675270 226410324 283012905 323443320 377350540 452820648 566025810 754701080 1132051620 2264103240