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30223648 = 2571397107
BaseRepresentation
bin111001101001…
…0110100100000
32002212112001101
41303102310200
530214124043
62555444144
7514616410
oct163226440
962775041
1030223648
1116073524
12a156654
136352a20
14402a640
1529c024d
hex1cd2d20

30223648 has 96 divisors (see below), whose sum is σ = 74680704. Its totient is φ = 11722752.

The previous prime is 30223643. The next prime is 30223651. The reversal of 30223648 is 84632203.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (30223643) 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 15 ways as a sum of consecutive naturals, for example, 282411 + ... + 282517.

It is an arithmetic number, because the mean of its divisors is an integer number (777924).

Almost surely, 230223648 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 30223648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37340352).

30223648 is an abundant number, since it is smaller than the sum of its proper divisors (44457056).

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

30223648 is a wasteful number, since it uses less digits than its factorization.

30223648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 30223648 is about 5497.6038416750. The cubic root of 30223648 is about 311.4934801240.

It can be divided in two parts, 3022 and 3648, that added together give a triangular number (6670 = T115).

The spelling of 30223648 in words is "thirty million, two hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 97 104 107 112 182 194 208 214 224 364 388 416 428 679 728 749 776 856 1261 1358 1391 1456 1498 1552 1712 2522 2716 2782 2912 2996 3104 3424 5044 5432 5564 5992 8827 9737 10088 10379 10864 11128 11984 17654 19474 20176 20758 21728 22256 23968 35308 38948 40352 41516 44512 70616 72653 77896 83032 134927 141232 145306 155792 166064 269854 282464 290612 311584 332128 539708 581224 944489 1079416 1162448 1888978 2158832 2324896 3777956 4317664 7555912 15111824 30223648