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30223127104 = 263127012
BaseRepresentation
bin11100001001011100…
…000101001001000000
32220000022010221012221
4130021130011021000
5443344110031404
621515002300424
72116646225122
oct341134051100
986008127187
1030223127104
11118aa1927a5
125a357b7714
132b08688c81
141669d2b212
15bbd500954
hex709705240

30223127104 has 63 divisors (see below), whose sum is σ = 62059601433. Its totient is φ = 14603232000.

The previous prime is 30223127087. The next prime is 30223127107. The reversal of 30223127104 is 40172132203.

It is a happy number.

The square root of 30223127104 is 173848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26065456704 + 4157670400 = 161448^2 + 64480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30223127107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43113954 + ... + 43114654.

Almost surely, 230223127104 is an apocalyptic number.

30223127104 is the 173848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30223127104

30223127104 is an abundant number, since it is smaller than the sum of its proper divisors (31836474329).

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

30223127104 is an frugal number, since it uses more digits than its factorization.

30223127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Multiplying 30223127104 by its sum of digits (25), we get a square (755578177600 = 8692402).

Adding to 30223127104 its reverse (40172132203), we get a palindrome (70395259307).

The spelling of 30223127104 in words is "thirty billion, two hundred twenty-three million, one hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 701 961 992 1402 1922 1984 2804 3844 5608 7688 11216 15376 21731 22432 30752 43462 44864 61504 86924 173848 347696 491401 673661 695392 982802 1347322 1390784 1965604 2694644 3931208 5389288 7862416 10778576 15233431 15724832 21557152 30466862 31449664 43114304 60933724 121867448 243734896 472236361 487469792 944472722 974939584 1888945444 3777890888 7555781776 15111563552 30223127104