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30220288 = 21371731
BaseRepresentation
bin111001101001…
…0000000000000
32002212100102221
41303102000000
530214022123
62555420424
7514603540
oct163220000
962770387
1030220288
1116070a4a
12a154714
136351337
144029320
1529be25d
hex1cd2000

30220288 has 112 divisors (see below), whose sum is σ = 75492864. Its totient is φ = 11796480.

The previous prime is 30220277. The next prime is 30220327. The reversal of 30220288 is 88202203.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974833 + ... + 974863.

Almost surely, 230220288 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 30220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746432).

30220288 is an abundant number, since it is smaller than the sum of its proper divisors (45272576).

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

30220288 is an equidigital number, since it uses as much as digits as its factorization.

30220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 30220288 is about 5497.2982455021. The cubic root of 30220288 is about 311.4819366588.

The spelling of 30220288 in words is "thirty million, two hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 512 527 544 868 896 952 992 1024 1054 1088 1736 1792 1904 1984 2048 2108 2176 3472 3584 3689 3808 3968 4096 4216 4352 6944 7168 7378 7616 7936 8192 8432 8704 13888 14336 14756 15232 15872 16864 17408 27776 28672 29512 30464 31744 33728 34816 55552 57344 59024 60928 63488 67456 69632 111104 118048 121856 126976 134912 139264 222208 236096 243712 253952 269824 444416 472192 487424 539648 888832 944384 974848 1079296 1777664 1888768 2158592 3777536 4317184 7555072 15110144 30220288