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221116600640 = 26513351115139
BaseRepresentation
bin1100110111101110010…
…0111001000101000000
3210010201222220010212102
43031323210321011000
512110321322210030
6245325104045532
721655322044235
oct3157344710500
9703658803772
10221116600640
1185858613871
1236a2b6038a8
1317b0b13a840
14a9b87c778c
155b42254c45
hex337b939140

221116600640 has 112 divisors (see below), whose sum is σ = 567235482240. Its totient is φ = 81614407680.

The previous prime is 221116600633. The next prime is 221116600669. The reversal of 221116600640 is 46006611122.

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, 14598191 + ... + 14613329.

It is an arithmetic number, because the mean of its divisors is an integer number (5064602520).

Almost surely, 2221116600640 is an apocalyptic number.

221116600640 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 221116600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283617741120).

221116600640 is an abundant number, since it is smaller than the sum of its proper divisors (346118881600).

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

221116600640 is a wasteful number, since it uses less digits than its factorization.

221116600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18680 (or 18670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 221116600640 in words is "two hundred twenty-one billion, one hundred sixteen million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 3511 4160 7022 14044 15139 17555 28088 30278 35110 45643 56176 60556 70220 75695 91286 112352 121112 140440 151390 182572 196807 224704 228215 242224 280880 302780 365144 393614 456430 484448 561760 605560 730288 787228 912860 968896 984035 1123520 1211120 1460576 1574456 1825720 1968070 2422240 2921152 3148912 3651440 3936140 4844480 6297824 7302880 7872280 12595648 14605760 15744560 31489120 53153029 62978240 106306058 212612116 265765145 425224232 531530290 690989377 850448464 1063060580 1381978754 1700896928 2126121160 2763957508 3401793856 3454946885 4252242320 5527915016 6909893770 8504484640 11055830032 13819787540 17008969280 22111660064 27639575080 44223320128 55279150160 110558300320 221116600640