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30133332224 = 284310127103
BaseRepresentation
bin11100000100000101…
…100010100100000000
32212210001011212210122
4130010011202210000
5443203113112344
621502033515412
72114506045352
oct340405424400
985701155718
1030133332224
1111863531556
125a0b712b68
132ac2ba94c8
14165c0350d2
15bb56b4aee
hex704162900

30133332224 has 72 divisors (see below), whose sum is σ = 62159446272. Its totient is φ = 14570035200.

The previous prime is 30133332223. The next prime is 30133332277. The reversal of 30133332224 is 42223333103.

It is a junction number, because it is equal to n+sod(n) for n = 30133332193 and 30133332202.

It is not an unprimeable number, because it can be changed into a prime (30133332223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098257 + ... + 1125359.

Almost surely, 230133332224 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 30133332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079723136).

30133332224 is an abundant number, since it is smaller than the sum of its proper divisors (32026114048).

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

30133332224 is a wasteful number, since it uses less digits than its factorization.

30133332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27263 (or 27249 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 30133332224 its reverse (42223333103), we get a palindrome (72356665327).

The spelling of 30133332224 in words is "thirty billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 172 202 256 344 404 688 808 1376 1616 2752 3232 4343 5504 6464 8686 11008 12928 17372 25856 27103 34744 54206 69488 108412 138976 216824 277952 433648 555904 867296 1111808 1165429 1734592 2330858 2737403 3469184 4661716 5474806 6938368 9323432 10949612 18646864 21899224 37293728 43798448 74587456 87596896 117708329 149174912 175193792 235416658 298349824 350387584 470833316 700775168 941666632 1883333264 3766666528 7533333056 15066666112 30133332224