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2216257502000 = 245315133122171
BaseRepresentation
bin100000010000000011001…
…111011011101100110000
321211212112210111012121012
4200100003033123230300
5242302343410031000
64414045025450052
7316055632641053
oct40200317335460
97755483435535
102216257502000
11784a00644953
122b96381a0928
13130cb8aa79c9
14793a5bb2a9a
153c9b385e735
hex204033dbb30

2216257502000 has 160 divisors (see below), whose sum is σ = 5410941439488. Its totient is φ = 877932000000.

The previous prime is 2216257501981. The next prime is 2216257502009. The reversal of 2216257502000 is 2057526122.

It is not an unprimeable number, because it can be changed into a prime (2216257502009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99950915 + ... + 99973085.

Almost surely, 22216257502000 is an apocalyptic number.

2216257502000 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 2216257502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705470719744).

2216257502000 is an abundant number, since it is smaller than the sum of its proper divisors (3194683937488).

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

2216257502000 is a wasteful number, since it uses less digits than its factorization.

2216257502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22676 (or 22660 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 2216257502000 in words is "two trillion, two hundred sixteen billion, two hundred fifty-seven million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 331 400 500 604 662 755 1000 1208 1324 1510 1655 2000 2416 2648 3020 3310 3775 5296 6040 6620 7550 8275 12080 13240 15100 16550 18875 22171 26480 30200 33100 37750 41375 44342 49981 60400 66200 75500 82750 88684 99962 110855 132400 151000 165500 177368 199924 221710 249905 302000 331000 354736 399848 443420 499810 554275 662000 799696 886840 999620 1108550 1249525 1773680 1999240 2217100 2499050 2771375 3347821 3998480 4434200 4998100 5542750 6247625 6695642 7338601 8868400 9996200 11085500 12495250 13391284 14677202 16739105 19992400 22171000 24990500 26782568 29354404 33478210 36693005 44342000 49981000 53565136 58708808 66956420 73386010 83695525 99962000 117417616 133912840 146772020 167391050 183465025 267825680 293544040 334782100 366930050 418477625 587088080 669564200 733860100 836955250 917325125 1108128751 1339128400 1467720200 1673910500 1834650250 2216257502 2935440400 3347821000 3669300500 4432515004 5540643755 6695642000 7338601000 8865030008 11081287510 14677202000 17730060016 22162575020 27703218775 44325150040 55406437550 88650300080 110812875100 138516093875 221625750200 277032187750 443251500400 554064375500 1108128751000 2216257502000