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3331214140 = 2251922232069
BaseRepresentation
bin1100011010001110…
…0100101100111100
322121011021012201111
43012203210230330
523310242323030
61310315251404
7145356565402
oct30643445474
98534235644
103331214140
11145a424541
1278b749b64
134111c0b37
142385c3472
151476bb62a
hexc68e4b3c

3331214140 has 72 divisors (see below), whose sum is σ = 7419807360. Its totient is φ = 1256086656.

The previous prime is 3331214111. The next prime is 3331214147. The reversal of 3331214140 is 414121333.

3331214140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33312141402 = 22193975293071879200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331214147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609026 + ... + 1611094.

It is an arithmetic number, because the mean of its divisors is an integer number (103052880).

Almost surely, 23331214140 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 3331214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709903680).

3331214140 is an abundant number, since it is smaller than the sum of its proper divisors (4088593220).

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

3331214140 is a wasteful number, since it uses less digits than its factorization.

3331214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3331214140 is about 57716.6712484357. The cubic root of 3331214140 is about 1493.4849496403.

Adding to 3331214140 its reverse (414121333), we get a palindrome (3745335473).

The spelling of 3331214140 in words is "three billion, three hundred thirty-one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 361 380 446 722 892 1115 1444 1805 2069 2230 3610 4138 4237 4460 7220 8276 8474 10345 16948 20690 21185 39311 41380 42370 78622 80503 84740 157244 161006 196555 322012 393110 402515 461387 746909 786220 805030 922774 1493818 1610060 1845548 2306935 2987636 3734545 4613870 7469090 8766353 9227740 14938180 17532706 35065412 43831765 87663530 166560707 175327060 333121414 666242828 832803535 1665607070 3331214140