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88229280 = 2535397463
BaseRepresentation
bin1010100001001…
…00010110100000
320011000111211010
411100210112200
5140041314110
612431020520
72120636136
oct520442640
9204014733
1088229280
1145891a67
122566a740
1315381c99
14ba09756
157b2c020
hex54245a0

88229280 has 96 divisors (see below), whose sum is σ = 279224064. Its totient is φ = 23417856.

The previous prime is 88229243. The next prime is 88229291. The reversal of 88229280 is 8292288.

It is a tau number, because it is divible by the number of its divisors (96).

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, 190329 + ... + 190791.

It is an arithmetic number, because the mean of its divisors is an integer number (2908584).

Almost surely, 288229280 is an apocalyptic number.

88229280 is a gapful number since it is divisible by the number (80) 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 88229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139612032).

88229280 is an abundant number, since it is smaller than the sum of its proper divisors (190994784).

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

88229280 is a wasteful number, since it uses less digits than its factorization.

88229280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88229280 is about 9393.0442349645. The cubic root of 88229280 is about 445.1819817066.

The spelling of 88229280 in words is "eighty-eight million, two hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 397 463 480 794 926 1191 1389 1588 1852 1985 2315 2382 2778 3176 3704 3970 4630 4764 5556 5955 6352 6945 7408 7940 9260 9528 11112 11910 12704 13890 14816 15880 18520 19056 22224 23820 27780 31760 37040 38112 44448 47640 55560 63520 74080 95280 111120 183811 190560 222240 367622 551433 735244 919055 1102866 1470488 1838110 2205732 2757165 2940976 3676220 4411464 5514330 5881952 7352440 8822928 11028660 14704880 17645856 22057320 29409760 44114640 88229280