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30152232 = 23321123461
BaseRepresentation
bin111001100000…
…1011000101000
32002201220002100
41303001120220
530204332412
62554133400
7514201245
oct163013050
962656070
1030152232
1116024900
12a121260
136329376
14400c5cc
1529a8edc
hex1cc1628

30152232 has 72 divisors (see below), whose sum is σ = 89786970. Its totient is φ = 9134400.

The previous prime is 30152231. The next prime is 30152249. The reversal of 30152232 is 23225103.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 1572516 = 5346^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30152231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6982 + ... + 10442.

Almost surely, 230152232 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 30152232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44893485).

30152232 is an abundant number, since it is smaller than the sum of its proper divisors (59634738).

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

30152232 is a wasteful number, since it uses less digits than its factorization.

30152232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30152232 is about 5491.1048068672. The cubic root of 30152232 is about 311.2479421164.

Adding to 30152232 its reverse (23225103), we get a palindrome (53377335).

The spelling of 30152232 in words is "thirty million, one hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3461 4356 6922 8712 10383 13844 20766 27688 31149 38071 41532 62298 76142 83064 114213 124596 152284 228426 249192 304568 342639 418781 456852 685278 837562 913704 1256343 1370556 1675124 2512686 2741112 3350248 3769029 5025372 7538058 10050744 15076116 30152232