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2232104016 = 243295992677
BaseRepresentation
bin1000010100001011…
…0011010001010000
312202120002122002010
42011002303101100
514032404312031
61005253422520
7106212366612
oct20502632120
95676078063
102232104016
11a45a6786a
1252363aa40
1329759220c
14172636db2
15d0e5e246
hex850b3450

2232104016 has 80 divisors (see below), whose sum is σ = 5977296000. Its totient is φ = 716911104.

The previous prime is 2232103981. The next prime is 2232104033. The reversal of 2232104016 is 6104012322.

It is a super-3 number, since 3×22321040163 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232103983 and 2232104001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832470 + ... + 835146.

It is an arithmetic number, because the mean of its divisors is an integer number (74716200).

Almost surely, 22232104016 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 2232104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988648000).

2232104016 is an abundant number, since it is smaller than the sum of its proper divisors (3745191984).

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

2232104016 is a wasteful number, since it uses less digits than its factorization.

2232104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2232104016 is about 47245.1480683467. The cubic root of 2232104016 is about 1306.8873160400.

Adding to 2232104016 its reverse (6104012322), we get a palindrome (8336116338).

The spelling of 2232104016 in words is "two billion, two hundred thirty-two million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 599 696 1198 1392 1797 2396 2677 3594 4792 5354 7188 8031 9584 10708 14376 16062 17371 21416 28752 32124 34742 42832 52113 64248 69484 77633 104226 128496 138968 155266 208452 232899 277936 310532 416904 465798 621064 833808 931596 1242128 1603523 1863192 3207046 3726384 4810569 6414092 9621138 12828184 19242276 25656368 38484552 46502167 76969104 93004334 139506501 186008668 279013002 372017336 558026004 744034672 1116052008 2232104016