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325101216 = 25311319931
BaseRepresentation
bin10011011000001…
…010011010100000
3211122201212000210
4103120022122200
51131211214331
652132014120
711025212646
oct2330123240
9748655023
10325101216
111575693a0
1290a61340
13524790ab
1431269196
151d81b446
hex1360a6a0

325101216 has 96 divisors (see below), whose sum is σ = 961099776. Its totient is φ = 95328000.

The previous prime is 325101211. The next prime is 325101221. The reversal of 325101216 is 612101523.

It is an interprime number because it is at equal distance from previous prime (325101211) and next prime (325101221).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 325101192 and 325101201.

It is not an unprimeable number, because it can be changed into a prime (325101211) by changing a digit.

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, 27771 + ... + 37701.

It is an arithmetic number, because the mean of its divisors is an integer number (10011456).

Almost surely, 2325101216 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 325101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480549888).

325101216 is an abundant number, since it is smaller than the sum of its proper divisors (635998560).

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

325101216 is a wasteful number, since it uses less digits than its factorization.

325101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 325101216 is about 18030.5633855407. The cubic root of 325101216 is about 687.6057999599.

Adding to 325101216 its reverse (612101523), we get a palindrome (937202739).

The spelling of 325101216 in words is "three hundred twenty-five million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 9931 10912 16368 19862 29793 32736 39724 59586 79448 109241 119172 158896 218482 238344 307861 317792 327723 436964 476688 615722 655446 873928 923583 953376 1231444 1310892 1747856 1847166 2462888 2621784 3386471 3495712 3694332 4925776 5243568 6772942 7388664 9851552 10159413 10487136 13545884 14777328 20318826 27091768 29554656 40637652 54183536 81275304 108367072 162550608 325101216