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221313104440 = 235291371392607
BaseRepresentation
bin1100111000011101001…
…0011111101000111000
3210011020200122120101221
43032013102133220320
512111222123320230
6245400403521424
721663226230511
oct3160722375070
9704220576357
10221313104440
1185949528aaa
1236a85389274
1317b3ca6c68c
14a9d6939a08
155b5461d27a
hex338749fa38

221313104440 has 64 divisors (see below), whose sum is σ = 518885740800. Its totient is φ = 84848698368.

The previous prime is 221313104417. The next prime is 221313104461. The reversal of 221313104440 is 44401313122.

221313104440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537384 + ... + 855223.

It is an arithmetic number, because the mean of its divisors is an integer number (8107589700).

Almost surely, 2221313104440 is an apocalyptic number.

221313104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313104440 is an abundant number, since it is smaller than the sum of its proper divisors (297572636360).

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

221313104440 is a wasteful number, since it uses less digits than its factorization.

221313104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392784 (or 1392780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221313104440 its reverse (44401313122), we get a palindrome (265714417562).

The spelling of 221313104440 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 137 145 232 274 290 548 580 685 1096 1160 1370 2740 3973 5480 7946 15892 19865 31784 39730 79460 158920 1392607 2785214 5570428 6963035 11140856 13926070 27852140 40385603 55704280 80771206 161542412 190787159 201928015 323084824 381574318 403856030 763148636 807712060 953935795 1526297272 1615424120 1907871590 3815743180 5532827611 7631486360 11065655222 22131310444 27664138055 44262620888 55328276110 110656552220 221313104440