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23225262840 = 2334513551407
BaseRepresentation
bin10101101000010101…
…010110001011111000
32012221121102121010000
4111220111112023320
5340031131402330
614400341553000
71451354322363
oct255025261370
965847377100
1023225262840
1199390677aa
124602115760
1322619501a0
1411a47a90da
1590dea9560
hex5685562f8

23225262840 has 160 divisors (see below), whose sum is σ = 84067663680. Its totient is φ = 5716977408.

The previous prime is 23225262833. The next prime is 23225262847. The reversal of 23225262840 is 4826252232.

23225262840 is a `hidden beast` number, since 2 + 3 + 2 + 25 + 2 + 628 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23225262833) and next prime (23225262847).

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 = 23225262795 and 23225262804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225262847) 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 39 ways as a sum of consecutive naturals, for example, 233584 + ... + 317823.

It is an arithmetic number, because the mean of its divisors is an integer number (525422898).

Almost surely, 223225262840 is an apocalyptic number.

23225262840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23225262840 is an abundant number, since it is smaller than the sum of its proper divisors (60842400840).

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

23225262840 is a wasteful number, since it uses less digits than its factorization.

23225262840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551443 (or 551430 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23225262840 in words is "twenty-three billion, two hundred twenty-five million, two hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 551407 1102814 1654221 2205628 2757035 3308442 4411256 4962663 5514070 6616884 7168291 8271105 9925326 11028140 13233768 14336582 14887989 16542210 19850652 21504873 22056280 24813315 28673164 29775978 33084420 35841455 39701304 43009746 44663967 49626630 57346328 59551956 64514619 66168840 71682910 74439945 86019492 89327934 99253260 107524365 119103912 129029238 143365820 148879890 172038984 178655868 193543857 198506520 215048730 223319835 258058476 286731640 297759780 322573095 357311736 387087714 430097460 446639670 516116952 580631571 595519560 645146190 774175428 860194920 893279340 967719285 1161263142 1290292380 1548350856 1786558680 1935438570 2322526284 2580584760 2903157855 3870877140 4645052568 5806315710 7741754280 11612631420 23225262840