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23212355300 = 225247101107457
BaseRepresentation
bin10101100111100100…
…000110111011100100
32012220201010211021222
4111213210012323210
5340014330332200
614355201155512
71451136523151
oct254744067344
965821124258
1023212355300
119931851112
1245b992bb98
13225c0810a4
1411a2ba9228
1590cca9d85
hex567906ee4

23212355300 has 144 divisors (see below), whose sum is σ = 52552136448. Its totient is φ = 8893824000.

The previous prime is 23212355293. The next prime is 23212355311. The reversal of 23212355300 is 355321232.

It is a self number, because there is not a number n which added to its sum of digits gives 23212355300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50792672 + ... + 50793128.

It is an arithmetic number, because the mean of its divisors is an integer number (364945392).

Almost surely, 223212355300 is an apocalyptic number.

23212355300 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 23212355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276068224).

23212355300 is an abundant number, since it is smaller than the sum of its proper divisors (29339781148).

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

23212355300 is a wasteful number, since it uses less digits than its factorization.

23212355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 23212355300 its reverse (355321232), we get a palindrome (23567676532).

The spelling of 23212355300 in words is "twenty-three billion, two hundred twelve million, three hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 107 188 202 214 235 404 428 457 470 505 535 914 940 1010 1070 1175 1828 2020 2140 2285 2350 2525 2675 4570 4700 4747 5029 5050 5350 9140 9494 10058 10100 10700 10807 11425 18988 20116 21479 21614 22850 23735 25145 42958 43228 45700 46157 47470 48899 50290 54035 85916 92314 94940 97798 100580 107395 108070 118675 125725 184628 195596 214790 216140 230785 237350 244495 251450 270175 429580 461570 474700 488990 502900 507929 536975 540350 923140 977980 1015858 1073950 1080700 1153925 1222475 2031716 2147900 2169379 2298253 2307850 2444950 2539645 4338758 4596506 4615700 4889900 4938799 5079290 8677516 9193012 9877598 10158580 10846895 11491265 12698225 19755196 21693790 22982530 24693995 25396450 43387580 45965060 49387990 50792900 54234475 57456325 98775980 108468950 114912650 123469975 216937900 229825300 232123553 246939950 464247106 493879900 928494212 1160617765 2321235530 4642471060 5803088825 11606177650 23212355300