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30414222032 = 2419349439653
BaseRepresentation
bin11100010100110101…
…000011001011010000
32220111121201120011212
4130110311003023100
5444242020101112
621545550155252
72124456423155
oct342465031320
986447646155
1030414222032
1111998043197
125a897b2b28
132b39145bac
14168747222c
15bd019b522
hex714d432d0

30414222032 has 80 divisors (see below), whose sum is σ = 62443920000. Its totient is φ = 14310784512.

The previous prime is 30414222023. The next prime is 30414222061. The reversal of 30414222032 is 23022241403.

It is a junction number, because it is equal to n+sod(n) for n = 30414221989 and 30414222007.

It is a congruent number.

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, 46575818 + ... + 46576470.

It is an arithmetic number, because the mean of its divisors is an integer number (780549000).

Almost surely, 230414222032 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 30414222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31221960000).

30414222032 is an abundant number, since it is smaller than the sum of its proper divisors (32029697968).

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

30414222032 is a wasteful number, since it uses less digits than its factorization.

30414222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30414222032 its reverse (23022241403), we get a palindrome (53436463435).

The spelling of 30414222032 in words is "thirty billion, four hundred fourteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 349 439 653 698 878 1306 1396 1756 2612 2792 3512 5224 5584 6631 7024 8341 10448 12407 13262 16682 24814 26524 33364 49628 53048 66728 99256 106096 133456 153211 198512 227897 286667 306422 455794 573334 612844 911588 1146668 1225688 1823176 2293336 2451376 2911009 3646352 4330043 4586672 5446673 5822018 8660086 10893346 11644036 17320172 21786692 23288072 34640344 43573384 46576144 69280688 87146768 100046783 200093566 400187132 800374264 1600748528 1900888877 3801777754 7603555508 15207111016 30414222032