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202241412500540 = 225713114097826359
BaseRepresentation
bin101101111110111111111111…
…100011010000110000111100
3222112002002102202200121000012
4231332333333203100300330
5203002010403100004130
61554044231114122352
760412313510236010
oct5576777743206074
9875062382617005
10202241412500540
1159493112a2a996
121a8238a7a203b8
1388b038b72c1ba
1437d27725aa540
15185ab6aedb995
hexb7efff8d0c3c

202241412500540 has 96 divisors (see below), whose sum is σ = 489431753395200. Its totient is φ = 68761755279360.

The previous prime is 202241412500537. The next prime is 202241412500573. The reversal of 202241412500540 is 45005214142202.

It is a junction number, because it is equal to n+sod(n) for n = 202241412500497 and 202241412500506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21927881 + ... + 29754239.

It is an arithmetic number, because the mean of its divisors is an integer number (5098247431200).

Almost surely, 2202241412500540 is an apocalyptic number.

202241412500540 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 202241412500540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244715876697600).

202241412500540 is an abundant number, since it is smaller than the sum of its proper divisors (287190340894660).

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

202241412500540 is a wasteful number, since it uses less digits than its factorization.

202241412500540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827915 (or 7827913 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 202241412500540 its reverse (45005214142202), we get a palindrome (247246626642742).

The spelling of 202241412500540 in words is "two hundred two trillion, two hundred forty-one billion, four hundred twelve million, five hundred thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1409 1834 2620 2818 3668 4585 5636 7045 9170 9863 14090 18340 19726 28180 39452 49315 98630 184579 197260 369158 738316 922895 1292053 1845790 2584106 3691580 5168212 6460265 7826359 12920530 15652718 25841060 31305436 39131795 54784513 78263590 109569026 156527180 219138052 273922565 547845130 1025253029 1095690260 2050506058 4101012116 5126265145 7176771203 10252530290 11027339831 14353542406 20505060580 22054679662 28707084812 35883856015 44109359324 55136699155 71767712030 77191378817 110273398310 143535424060 154382757634 220546796620 308765515268 385956894085 771913788170 1444581517861 1543827576340 2889163035722 5778326071444 7222907589305 10112070625027 14445815178610 20224141250054 28891630357220 40448282500108 50560353125135 101120706250270 202241412500540