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30219904 = 2711132127
BaseRepresentation
bin111001101000…
…1111010000000
32002212022220201
41303101322000
530214014104
62555414544
7514602451
oct163217200
962768821
1030219904
1116070730
12a154454
136351100
144029128
1529be0a4
hex1cd1e80

30219904 has 96 divisors (see below), whose sum is σ = 71677440. Its totient is φ = 12579840.

The previous prime is 30219901. The next prime is 30219913. The reversal of 30219904 is 40991203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30219901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 237889 + ... + 238015.

It is an arithmetic number, because the mean of its divisors is an integer number (746640).

Almost surely, 230219904 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 30219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838720).

30219904 is an abundant number, since it is smaller than the sum of its proper divisors (41457536).

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

30219904 is a wasteful number, since it uses less digits than its factorization.

30219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 30219904 is about 5497.2633191434. The cubic root of 30219904 is about 311.4806173512.

The spelling of 30219904 in words is "thirty million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 127 128 143 169 176 208 254 286 338 352 416 508 572 676 704 832 1016 1144 1352 1397 1408 1651 1664 1859 2032 2288 2704 2794 3302 3718 4064 4576 5408 5588 6604 7436 8128 9152 10816 11176 13208 14872 16256 18161 18304 21463 21632 22352 26416 29744 36322 42926 44704 52832 59488 72644 85852 89408 105664 118976 145288 171704 178816 211328 236093 237952 290576 343408 472186 581152 686816 944372 1162304 1373632 1888744 2324608 2747264 3777488 7554976 15109952 30219904