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221720063440 = 2453798598513
BaseRepresentation
bin1100111001111110001…
…0111010110111010000
3210012022001102020012111
43032133202322313100
512113040314012230
6245505022235104
722006300305061
oct3163742726720
9705261366174
10221720063440
1186038217357
1236b79725a94
1317ba6179615
14aa349d2568
155b7a20892a
hex339f8badd0

221720063440 has 80 divisors (see below), whose sum is σ = 517521787200. Its totient is φ = 88340668416.

The previous prime is 221720063429. The next prime is 221720063449. The reversal of 221720063440 is 44360027122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221720063449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26040624 + ... + 26049136.

It is an arithmetic number, because the mean of its divisors is an integer number (6469022340).

Almost surely, 2221720063440 is an apocalyptic number.

221720063440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221720063440 is an abundant number, since it is smaller than the sum of its proper divisors (295801723760).

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

221720063440 is a wasteful number, since it uses less digits than its factorization.

221720063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9764 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 221720063440 in words is "two hundred twenty-one billion, seven hundred twenty million, sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 379 758 859 1516 1718 1895 3032 3436 3790 4295 6064 6872 7580 8513 8590 13744 15160 17026 17180 30320 34052 34360 42565 68104 68720 85130 136208 170260 325561 340520 651122 681040 1302244 1627805 2604488 3226427 3255610 5208976 6452854 6511220 7312667 12905708 13022440 14625334 16132135 25811416 26044880 29250668 32264270 36563335 51622832 58501336 64528540 73126670 117002672 129057080 146253340 258114160 292506680 585013360 2771500793 5543001586 11086003172 13857503965 22172006344 27715007930 44344012688 55430015860 110860031720 221720063440