Search a number
-
+
30002023232 = 2617130321163
BaseRepresentation
bin11011111100010000…
…101000101101000000
32212102220002200201122
4123330100220231000
5442421004220412
621441023251412
72111322663326
oct337420505500
985386080648
1030002023232
11117a63a6125
125993749b68
132aa1922c8c
141648813d16
15ba8dc8572
hex6fc428b40

30002023232 has 56 divisors (see below), whose sum is σ = 63088698816. Its totient is φ = 14107097088.

The previous prime is 30002023229. The next prime is 30002023307. The reversal of 30002023232 is 23232020003.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 30002023232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407083 + ... + 1428245.

Almost surely, 230002023232 is an apocalyptic number.

30002023232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30002023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31544349408).

30002023232 is an abundant number, since it is smaller than the sum of its proper divisors (33086675584).

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

30002023232 is a wasteful number, since it uses less digits than its factorization.

30002023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22485 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 30002023232 its reverse (23232020003), we get a palindrome (53234043235).

The spelling of 30002023232 in words is "thirty billion, two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1303 2606 5212 10424 20848 21163 22151 41696 42326 44302 83392 84652 88604 169304 177208 338608 354416 359771 677216 708832 719542 1354432 1417664 1439084 2878168 5756336 11512672 23025344 27575389 55150778 110301556 220603112 441206224 468781613 882412448 937563226 1764824896 1875126452 3750252904 7500505808 15001011616 30002023232