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220000230311010 = 23567831609819583
BaseRepresentation
bin110010000001011011001011…
…100101000000010001100010
31001211221211001022110120112120
4302001123023211000101202
5212313440432424423020
62055522413252005110
764224330540056202
oct6201331345002142
91054854038416476
10220000230311010
116410a634686466
1220811628000796
13959ac181b0606
143c480d46b4402
151a67a9e26a740
hexc816cb940462

220000230311010 has 128 divisors (see below), whose sum is σ = 542675284623360. Its totient is φ = 57059272613376.

The previous prime is 220000230310997. The next prime is 220000230311033. The reversal of 220000230311010 is 10113032000022.

It is a super-2 number, since 2×2200002303110102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268019679 + ... + 268839261.

It is an arithmetic number, because the mean of its divisors is an integer number (4239650661120).

Almost surely, 2220000230311010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220000230311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271337642311680).

220000230311010 is an abundant number, since it is smaller than the sum of its proper divisors (322675054312350).

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

220000230311010 is a wasteful number, since it uses less digits than its factorization.

220000230311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821352.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220000230311010 its reverse (10113032000022), we get a palindrome (230113262311032).

The spelling of 220000230311010 in words is "two hundred twenty trillion, two hundred thirty million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 83 134 166 201 249 335 402 415 498 670 830 1005 1245 1609 2010 2490 3218 4827 5561 8045 9654 11122 16090 16683 24135 27805 33366 48270 55610 83415 107803 133547 166830 215606 267094 323409 400641 539015 646818 667735 801282 819583 1078030 1335470 1617045 1639166 2003205 2458749 3234090 4006410 4097915 4917498 8195830 8947649 12293745 17895298 24587490 26842947 44738245 53685894 54912061 68025389 89476490 109824122 134214735 136050778 164736183 204076167 268429470 274560305 329472366 340126945 408152334 549120610 680253890 823680915 1020380835 1318709047 1647361830 2040761670 2637418094 3956127141 4557701063 6593545235 7912254282 9115402126 13187090470 13673103189 19780635705 22788505315 27346206378 39561271410 45577010630 68365515945 88353506149 109452850901 136731031890 176707012298 218905701802 265060518447 328358552703 441767530745 530121036894 547264254505 656717105406 883535061490 1094528509010 1325302592235 1641792763515 2650605184470 3283585527030 7333341010367 14666682020734 22000023031101 36666705051835 44000046062202 73333410103670 110000115155505 220000230311010