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2325194640 = 243351517129
BaseRepresentation
bin1000101010010111…
…1010011110010000
320000001021010102000
42022211322132100
514230222212030
61022420554000
7111422554056
oct21245723620
96001233360
102325194640
11a9356a16a
1254a852900
132b0956b22
14180b4a1d6
15d91eb860
hex8a97a790

2325194640 has 160 divisors (see below), whose sum is σ = 8063174400. Its totient is φ = 615859200.

The previous prime is 2325194639. The next prime is 2325194653. The reversal of 2325194640 is 464915232.

It is a happy number.

2325194640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 1 + 9 + 4 + 640 = 666.

It is a super-2 number, since 2×23251946402 = 10813060227769459200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2325194595 and 2325194604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322596 + ... + 329724.

It is an arithmetic number, because the mean of its divisors is an integer number (50394840).

Almost surely, 22325194640 is an apocalyptic number.

2325194640 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 2325194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031587200).

2325194640 is an abundant number, since it is smaller than the sum of its proper divisors (5737979760).

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

2325194640 is a wasteful number, since it uses less digits than its factorization.

2325194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2325194640 is about 48220.2720855036. The cubic root of 2325194640 is about 1324.8084954034.

The spelling of 2325194640 in words is "two billion, three hundred twenty-five million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 151 180 216 240 270 302 360 432 453 540 604 720 755 906 1080 1208 1359 1510 1812 2160 2265 2416 2718 3020 3624 4077 4530 5436 6040 6795 7129 7248 8154 9060 10872 12080 13590 14258 16308 18120 20385 21387 21744 27180 28516 32616 35645 36240 40770 42774 54360 57032 64161 65232 71290 81540 85548 106935 108720 114064 128322 142580 163080 171096 192483 213870 256644 285160 320805 326160 342192 384966 427740 513288 570320 641610 769932 855480 962415 1026576 1076479 1283220 1539864 1710960 1924830 2152958 2566440 3079728 3229437 3849660 4305916 5132880 5382395 6458874 7699320 8611832 9688311 10764790 12917748 15398640 16147185 17223664 19376622 21529580 25835496 29064933 32294370 38753244 43059160 48441555 51670992 58129866 64588740 77506488 86118320 96883110 116259732 129177480 145324665 155012976 193766220 232519464 258354960 290649330 387532440 465038928 581298660 775064880 1162597320 2325194640