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3136226640 = 24351719231759
BaseRepresentation
bin1011101011101111…
…0000010101010000
322002120100211011020
42322323300111100
522410333223030
61235112115440
7140501325621
oct27273602520
98076324136
103136226640
11136a355548
12736395b80
133ac9a0211
1421a747a48
15135502510
hexbaef0550

3136226640 has 320 divisors, whose sum is σ = 11313561600. Its totient is φ = 712876032.

The previous prime is 3136226627. The next prime is 3136226641. The reversal of 3136226640 is 466226313.

3136226640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136226641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782081 + ... + 1783839.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 23136226640 is an apocalyptic number.

3136226640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656780800).

3136226640 is an abundant number, since it is smaller than the sum of its proper divisors (8177334960).

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

3136226640 is a wasteful number, since it uses less digits than its factorization.

3136226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3136226640 is about 56002.0235348688. The cubic root of 3136226640 is about 1463.7575444287.

The spelling of 3136226640 in words is "three billion, one hundred thirty-six million, two hundred twenty-six thousand, six hundred forty".