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96229824240 = 24351136450691
BaseRepresentation
bin101100110011110111…
…1101001011011110000
3100012101102101120101110
41121213233221123300
53034034313333430
6112112443033320
76644444003304
oct1314757513360
9305342346343
1096229824240
11378a1255270
121679720b840
1390c76b8304
14492c453d04
1527832607b0
hex1667be96f0

96229824240 has 80 divisors (see below), whose sum is σ = 325431778176. Its totient is φ = 23328441600.

The previous prime is 96229824221. The next prime is 96229824253. The reversal of 96229824240 is 4242892269.

It is a happy number.

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

It is a super-2 number, since 2×962298242402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96229824240.

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, 18222706 + ... + 18227985.

Almost surely, 296229824240 is an apocalyptic number.

It is an amenable number.

96229824240 is an abundant number, since it is smaller than the sum of its proper divisors (229201953936).

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

96229824240 is a wasteful number, since it uses less digits than its factorization.

96229824240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36450718 (or 36450712 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 96229824240 in words is "ninety-six billion, two hundred twenty-nine million, eight hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 36450691 72901382 109352073 145802764 182253455 218704146 291605528 364506910 400957601 437408292 546760365 583211056 729013820 801915202 874816584 1093520730 1202872803 1458027640 1603830404 1749633168 2004788005 2187041460 2405745606 2916055280 3207660808 4009576010 4374082920 4811491212 6014364015 6415321616 8019152020 8748165840 9622982424 12028728030 16038304040 19245964848 24057456060 32076608080 48114912120 96229824240