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30220004440332 = 2234766192013071
BaseRepresentation
bin1101101111100001001001…
…01000010011100100001100
310222000000010001212022020000
412313300210220103210030
512430111032114042312
6144134513421524300
76236215611312540
oct667604450234414
9128000101768200
1030220004440332
1196a1260744373
123480a0a413690
1313b297102c165
1476692818ba20
15376159594adc
hex1b7c24a1390c

30220004440332 has 120 divisors (see below), whose sum is σ = 90300612272640. Its totient is φ = 8632978224480.

The previous prime is 30220004440309. The next prime is 30220004440343. The reversal of 30220004440332 is 23304440002203.

30220004440332 is a `hidden beast` number, since 3 + 0 + 220 + 0 + 0 + 4 + 4 + 403 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30220004440296 and 30220004440305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14005357 + ... + 16018427.

It is an arithmetic number, because the mean of its divisors is an integer number (752505102272).

Almost surely, 230220004440332 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 30220004440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45150306136320).

30220004440332 is an abundant number, since it is smaller than the sum of its proper divisors (60080607832308).

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

30220004440332 is a wasteful number, since it uses less digits than its factorization.

30220004440332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019713 (or 2019702 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30220004440332 its reverse (23304440002203), we get a palindrome (53524444442535).

The spelling of 30220004440332 in words is "thirty trillion, two hundred twenty billion, four million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6619 13238 19857 26476 39714 46333 59571 79428 92666 119142 138999 178713 185332 238284 277998 357426 416997 536139 555996 714852 833994 1072278 1250991 1667988 2013071 2144556 2501982 3752973 4026142 5003964 6039213 7505946 8052284 12078426 14091497 15011892 18117639 24156852 28182994 36235278 42274491 54352917 56365988 72470556 84548982 108705834 126823473 163058751 169097964 217411668 253646946 326117502 380470419 507293892 652235004 760940838 1141411257 1521881676 2282822514 4565645028 13324516949 26649033898 39973550847 53298067796 79947101694 93271618643 119920652541 159894203388 186543237286 239841305082 279814855929 359761957623 373086474572 479682610164 559629711858 719523915246 839444567787 1079285872869 1119259423716 1439047830492 1678889135574 2158571745738 2518333703361 3357778271148 4317143491476 5036667406722 7555001110083 10073334813444 15110002220166 30220004440332