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3230215120 = 245114218719
BaseRepresentation
bin1100000010001001…
…0010101111010000
322100010012221010001
43000202102233100
523103413340440
61252310415344
7143022242536
oct30042225720
98303187101
103230215120
111408410480
12761961554
133c62ba6c2
14229012156
1513d8bab9a
hexc0892bd0

3230215120 has 80 divisors (see below), whose sum is σ = 8213402880. Its totient is φ = 1171699200.

The previous prime is 3230215117. The next prime is 3230215127. The reversal of 3230215120 is 215120323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×32302151202 = 20868579442953228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230215127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366121 + ... + 374839.

It is an arithmetic number, because the mean of its divisors is an integer number (102667536).

Almost surely, 23230215120 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 3230215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106701440).

3230215120 is an abundant number, since it is smaller than the sum of its proper divisors (4983187760).

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

3230215120 is a wasteful number, since it uses less digits than its factorization.

3230215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3230215120 is about 56834.9814814785. The cubic root of 3230215120 is about 1478.2361382583.

Adding to 3230215120 its reverse (215120323), we get a palindrome (3445335443).

The spelling of 3230215120 in words is "three billion, two hundred thirty million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 421 440 842 880 1684 2105 3368 4210 4631 6736 8420 8719 9262 16840 17438 18524 23155 33680 34876 37048 43595 46310 69752 74096 87190 92620 95909 139504 174380 185240 191818 348760 370480 383636 479545 697520 767272 959090 1534544 1918180 3670699 3836360 7341398 7672720 14682796 18353495 29365592 36706990 40377689 58731184 73413980 80755378 146827960 161510756 201888445 293655920 323021512 403776890 646043024 807553780 1615107560 3230215120