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30212422432 = 2523314132297
BaseRepresentation
bin11100001000110011…
…001111101100100000
32212222120000002011121
4130020303033230200
5443333340004212
621513541022024
72116456232143
oct341063175440
985876002147
1030212422432
11118a4141165
125a320b4914
132b063ab74a
14166874205a
15bbc5d8d07
hex708ccfb20

30212422432 has 96 divisors (see below), whose sum is σ = 65633670144. Its totient is φ = 13641830400.

The previous prime is 30212422397. The next prime is 30212422489. The reversal of 30212422432 is 23422421203.

It is a junction number, because it is equal to n+sod(n) for n = 30212422397 and 30212422406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919308 + ... + 951604.

It is an arithmetic number, because the mean of its divisors is an integer number (683684064).

Almost surely, 230212422432 is an apocalyptic number.

30212422432 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 30212422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816835072).

30212422432 is an abundant number, since it is smaller than the sum of its proper divisors (35421247712).

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

30212422432 is a wasteful number, since it uses less digits than its factorization.

30212422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32402 (or 32394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30212422432 its reverse (23422421203), we get a palindrome (53634843635).

The spelling of 30212422432 in words is "thirty billion, two hundred twelve million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 41 46 62 82 92 124 164 184 248 328 368 496 656 713 736 943 992 1271 1312 1426 1886 2542 2852 3772 5084 5704 7544 10168 11408 15088 20336 22816 29233 30176 32297 40672 58466 64594 116932 129188 233864 258376 467728 516752 742831 935456 1001207 1033504 1324177 1485662 2002414 2648354 2971324 4004828 5296708 5942648 8009656 10593416 11885296 16019312 21186832 23027761 23770592 30456071 32038624 41049487 42373664 46055522 60912142 82098974 92111044 121824284 164197948 184222088 243648568 328395896 368444176 487297136 656791792 736888352 944138201 974594272 1313583584 1888276402 3776552804 7553105608 15106211216 30212422432