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332299890 = 2325131911487
BaseRepresentation
bin10011110011100…
…111111001110010
3212011021120202100
4103303213321302
51140032044030
652550201230
711143334226
oct2363477162
9764246670
10332299890
1116063590a
1293353216
1353ac9870
14321c0786
151e28e360
hex13ce7e72

332299890 has 96 divisors (see below), whose sum is σ = 935940096. Its totient is φ = 81313920.

The previous prime is 332299889. The next prime is 332299909. The reversal of 332299890 is 98992233.

332299890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322998902 = 220846433788024200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222727 + ... + 224213.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2332299890 is an apocalyptic number.

332299890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332299890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

332299890 is an abundant number, since it is smaller than the sum of its proper divisors (603640206).

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

332299890 is a wasteful number, since it uses less digits than its factorization.

332299890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 332299890 is about 18229.0946017623. The cubic root of 332299890 is about 692.6439829726.

The spelling of 332299890 in words is "three hundred thirty-two million, two hundred ninety-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 191 195 234 382 390 573 585 955 1146 1170 1487 1719 1910 2483 2865 2974 3438 4461 4966 5730 7435 7449 8595 8922 12415 13383 14870 14898 17190 19331 22305 22347 24830 26766 37245 38662 44610 44694 57993 66915 74490 96655 111735 115986 133830 173979 193310 223470 284017 289965 347958 568034 579930 852051 869895 1420085 1704102 1739790 2556153 2840170 3692221 4260255 5112306 7384442 8520510 11076663 12780765 18461105 22153326 25561530 33229989 36922210 55383315 66459978 110766630 166149945 332299890