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221411037442600 = 235253147114199751
BaseRepresentation
bin110010010101111101000110…
…001111000111001000101000
31002000221200120212222112112101
4302111331012033013020220
5213010044301041130400
62102522454301023144
764431263624606425
oct6225750617071050
91060850525875471
10221411037442600
116460399150a665
12209bab38554ab4
139670c81a838b5
143c964cc306d4c
151a8e62106d56a
hexc95f463c7228

221411037442600 has 96 divisors (see below), whose sum is σ = 524850097443840. Its totient is φ = 86834311200000.

The previous prime is 221411037442537. The next prime is 221411037442663. The reversal of 221411037442600 is 6244730114122.

It is an interprime number because it is at equal distance from previous prime (221411037442537) and next prime (221411037442663).

It is a self number, because there is not a number n which added to its sum of digits gives 221411037442600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8492725 + ... + 22692475.

It is an arithmetic number, because the mean of its divisors is an integer number (5467188515040).

Almost surely, 2221411037442600 is an apocalyptic number.

221411037442600 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 221411037442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262425048721920).

221411037442600 is an abundant number, since it is smaller than the sum of its proper divisors (303439060001240).

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

221411037442600 is a wasteful number, since it uses less digits than its factorization.

221411037442600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14201291 (or 14201282 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

Adding to 221411037442600 its reverse (6244730114122), we get a palindrome (227655767556722).

The spelling of 221411037442600 in words is "two hundred twenty-one trillion, four hundred eleven billion, thirty-seven million, four hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1471 2120 2650 2942 5300 5884 7355 10600 11768 14710 29420 36775 58840 73550 77963 147100 155926 294200 311852 389815 623704 779630 1559260 1949075 3118520 3898150 7796300 14199751 15592600 28399502 56799004 70998755 113598008 141997510 283995020 354993775 567990040 709987550 752586803 1419975100 1505173606 2839950200 3010347212 3762934015 6020694424 7525868030 15051736060 18814670075 20887833721 30103472120 37629340150 41775667442 75258680300 83551334884 104439168605 150517360600 167102669768 208878337210 417756674420 522195843025 835513348840 1044391686050 1107055187213 2088783372100 2214110374426 4177566744200 4428220748852 5535275936065 8856441497704 11070551872130 22141103744260 27676379680325 44282207488520 55352759360650 110705518721300 221411037442600