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230036217120 = 25325712249963
BaseRepresentation
bin1101011000111100111…
…0100001110100100000
3210222202121201121102100
43112033032201310200
512232103232421440
6253402134250400
722422340404063
oct3261716416440
9728677647370
10230036217120
11896154a1736
12386ba7b6a00
1318900055008
14b1c32768da
155eb5354230
hex358f3a1d20

230036217120 has 144 divisors (see below), whose sum is σ = 796055262912. Its totient is φ = 60478978560.

The previous prime is 230036217107. The next prime is 230036217181. The reversal of 230036217120 is 21712630032.

230036217120 is a `hidden beast` number, since 2 + 30 + 0 + 3 + 621 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2300362171202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022742 + ... + 1227221.

It is an arithmetic number, because the mean of its divisors is an integer number (5528161548).

Almost surely, 2230036217120 is an apocalyptic number.

230036217120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230036217120 is an abundant number, since it is smaller than the sum of its proper divisors (566019045792).

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

230036217120 is a wasteful number, since it uses less digits than its factorization.

230036217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250055 (or 2250044 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 230036217120 its reverse (21712630032), we get a palindrome (251748847152).

The spelling of 230036217120 in words is "two hundred thirty billion, thirty-six million, two hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 568 639 710 720 852 1065 1136 1278 1420 1440 1704 2130 2272 2556 2840 3195 3408 4260 5112 5680 6390 6816 8520 10224 11360 12780 17040 20448 25560 34080 51120 102240 2249963 4499926 6749889 8999852 11249815 13499778 17999704 20249667 22499630 26999556 33749445 35999408 40499334 44999260 53999112 67498890 71998816 80998668 89998520 101248335 107998224 134997780 159747373 161997336 179997040 202496670 215996448 269995560 319494746 323994672 359994080 404993340 479242119 539991120 638989492 647989344 798736865 809986680 958484238 1079982240 1277978984 1437726357 1597473730 1619973360 1916968476 2396210595 2555957968 2875452714 3194947460 3239946720 3833936952 4792421190 5111915936 5750905428 6389894920 7188631785 7667873904 9584842380 11501810856 12779789840 14377263570 15335747808 19169684760 23003621712 25559579680 28754527140 38339369520 46007243424 57509054280 76678739040 115018108560 230036217120