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30217000 = 2353114167
BaseRepresentation
bin111001101000…
…1001100101000
32002212011221011
41303101030220
530213421000
62555353304
7514561132
oct163211450
962764834
1030217000
1116069530
12a152834
13634c9a8
144028052
1529bd2ba
hex1cd1328

30217000 has 128 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 10560000.

The previous prime is 30216997. The next prime is 30217037. The reversal of 30217000 is 71203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450967 + ... + 451033.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 230217000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

30217000 is an abundant number, since it is smaller than the sum of its proper divisors (49979480).

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

30217000 is a wasteful number, since it uses less digits than its factorization.

30217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 30217000 is about 5496.9991813716. Note that the first 3 decimals coincide. The cubic root of 30217000 is about 311.4706397253.

Adding to 30217000 its reverse (71203), we get a palindrome (30288203).

The spelling of 30217000 in words is "thirty million, two hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 67 82 88 100 110 125 134 164 200 205 220 250 268 275 328 335 410 440 451 500 536 550 670 737 820 902 1000 1025 1100 1340 1375 1474 1640 1675 1804 2050 2200 2255 2680 2747 2750 2948 3350 3608 3685 4100 4510 5125 5494 5500 5896 6700 7370 8200 8375 9020 10250 10988 11000 11275 13400 13735 14740 16750 18040 18425 20500 21976 22550 27470 29480 30217 33500 36850 41000 45100 54940 56375 60434 67000 68675 73700 90200 92125 109880 112750 120868 137350 147400 151085 184250 225500 241736 274700 302170 343375 368500 451000 549400 604340 686750 737000 755425 1208680 1373500 1510850 2747000 3021700 3777125 6043400 7554250 15108500 30217000