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221244412240 = 2454758841599
BaseRepresentation
bin1100111000001100110…
…0011101000101010000
3210011001220101122102101
43032003030131011100
512111102032142430
6245345511330144
721661433321635
oct3160314350520
9704056348371
10221244412240
1185913780595
1236a66380954
1317b2b76b1c7
14a9cb77818c
155b4d59edca
hex338331d150

221244412240 has 40 divisors (see below), whose sum is σ = 525337804800. Its totient is φ = 86614832256.

The previous prime is 221244412211. The next prime is 221244412243. The reversal of 221244412240 is 42214442122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 221244412199 and 221244412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221244412243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29417040 + ... + 29424559.

It is an arithmetic number, because the mean of its divisors is an integer number (13133445120).

Almost surely, 2221244412240 is an apocalyptic number.

221244412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221244412240 is an abundant number, since it is smaller than the sum of its proper divisors (304093392560).

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

221244412240 is a wasteful number, since it uses less digits than its factorization.

221244412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58841659 (or 58841653 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 221244412240 its reverse (42214442122), we get a palindrome (263458854362).

The spelling of 221244412240 in words is "two hundred twenty-one billion, two hundred forty-four million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 58841599 117683198 235366396 294207995 470732792 588415990 941465584 1176831980 2353663960 2765555153 4707327920 5531110306 11062220612 13827775765 22124441224 27655551530 44248882448 55311103060 110622206120 221244412240