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66222132240 = 24351125084141
BaseRepresentation
bin111101101011001001…
…011000110000010000
320022221010121212120110
4331223021120300100
52041110331212430
650231054041320
74533021556635
oct755311306020
9208833555513
1066222132240
11260a2738110
1210a017a9240
13632485c044
1432c2da618c
151ac8b177b0
hexf6b258c10

66222132240 has 80 divisors (see below), whose sum is σ = 223951219776. Its totient is φ = 16053849600.

The previous prime is 66222132191. The next prime is 66222132253. The reversal of 66222132240 is 4223122266.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66222132198 and 66222132207.

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, 12539431 + ... + 12544710.

Almost surely, 266222132240 is an apocalyptic number.

66222132240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66222132240 is an abundant number, since it is smaller than the sum of its proper divisors (157729087536).

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

66222132240 is a wasteful number, since it uses less digits than its factorization.

66222132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25084168 (or 25084162 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 66222132240 in words is "sixty-six billion, two hundred twenty-two million, one hundred thirty-two 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 25084141 50168282 75252423 100336564 125420705 150504846 200673128 250841410 275925551 301009692 376262115 401346256 501682820 551851102 602019384 752524230 827776653 1003365640 1103702204 1204038768 1379627755 1505048460 1655553306 2006731280 2207404408 2759255510 3010096920 3311106612 4138883265 4414808816 5518511020 6020193840 6622213224 8277766530 11037022040 13244426448 16555533060 22074044080 33111066120 66222132240