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3214064500 = 22533126689
BaseRepresentation
bin1011111110010010…
…1011101101110100
322021222211101121221
42333210223231310
523040300031000
61250532320124
7142435045303
oct27744535564
98258741557
103214064500
1113aa28a259
12758473044
133c2b5441a
14226c0a43a
1513c27a61a
hexbf92bb74

3214064500 has 72 divisors (see below), whose sum is σ = 7254341640. Its totient is φ = 1243968000.

The previous prime is 3214064473. The next prime is 3214064501. The reversal of 3214064500 is 54604123.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 3211262224 = 1674^2 + 56668^2 .

It is a super-2 number, since 2×32140645002 = 20660421220320500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214064501) 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, 477156 + ... + 483844.

It is an arithmetic number, because the mean of its divisors is an integer number (100754745).

Almost surely, 23214064500 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 3214064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627170820).

3214064500 is an abundant number, since it is smaller than the sum of its proper divisors (4040277140).

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

3214064500 is a wasteful number, since it uses less digits than its factorization.

3214064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3214064500 is about 56692.7199911946. The cubic root of 3214064500 is about 1475.7683634365.

Adding to 3214064500 its reverse (54604123), we get a palindrome (3268668623).

The spelling of 3214064500 in words is "three billion, two hundred fourteen million, sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 961 1550 1922 3100 3844 3875 4805 6689 7750 9610 13378 15500 19220 24025 26756 33445 48050 66890 96100 120125 133780 167225 207359 240250 334450 414718 480500 668900 829436 836125 1036795 1672250 2073590 3344500 4147180 5183975 6428129 10367950 12856258 20735900 25712516 25919875 32140645 51839750 64281290 103679500 128562580 160703225 321406450 642812900 803516125 1607032250 3214064500