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30217728 = 293103191
BaseRepresentation
bin111001101000…
…1011000000000
32002212012221010
41303101120000
530213431403
62555400520
7514563222
oct163213000
962765833
1030217728
111606a032
12a153140
136350118
144028412
1529bd603
hex1cd1600

30217728 has 80 divisors (see below), whose sum is σ = 81709056. Its totient is φ = 9922560.

The previous prime is 30217717. The next prime is 30217729. The reversal of 30217728 is 82771203.

It is a super-2 number, since 2×302177282 = 1826222170963968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30217695 and 30217704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30217729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158113 + ... + 158303.

Almost surely, 230217728 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 30217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854528).

30217728 is an abundant number, since it is smaller than the sum of its proper divisors (51491328).

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

30217728 is a wasteful number, since it uses less digits than its factorization.

30217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 30217728 is about 5497.0653989197. The cubic root of 30217728 is about 311.4731410635.

The spelling of 30217728 in words is "thirty million, two hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 191 192 206 256 309 382 384 412 512 573 618 764 768 824 1146 1236 1528 1536 1648 2292 2472 3056 3296 4584 4944 6112 6592 9168 9888 12224 13184 18336 19673 19776 24448 26368 36672 39346 39552 48896 52736 59019 73344 78692 79104 97792 118038 146688 157384 158208 236076 293376 314768 472152 629536 944304 1259072 1888608 2518144 3777216 5036288 7554432 10072576 15108864 30217728