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30202144 = 257731847
BaseRepresentation
bin111001100110…
…1100100100000
32002211102112221
41303031210200
530212432034
62555200424
7514466620
oct163154440
962742487
1030202144
1116059355
12a146114
136345cbb
144022880
1529b8bb4
hex1ccd920

30202144 has 48 divisors (see below), whose sum is σ = 68923008. Its totient is φ = 12759552.

The previous prime is 30202099. The next prime is 30202157. The reversal of 30202144 is 44120203.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 15429 + ... + 17275.

It is an arithmetic number, because the mean of its divisors is an integer number (1435896).

Almost surely, 230202144 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 30202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461504).

30202144 is an abundant number, since it is smaller than the sum of its proper divisors (38720864).

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

30202144 is a wasteful number, since it uses less digits than its factorization.

30202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30202144 is about 5495.6477325243. The cubic root of 30202144 is about 311.4195871573.

Adding to 30202144 its reverse (44120203), we get a palindrome (74322347).

The spelling of 30202144 in words is "thirty million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 1847 2044 2336 3694 4088 7388 8176 12929 14776 16352 25858 29552 51716 59104 103432 134831 206864 269662 413728 539324 943817 1078648 1887634 2157296 3775268 4314592 7550536 15101072 30202144