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3225621564 = 22321119577743
BaseRepresentation
bin1100000001000011…
…0001010000111100
322022210120112221100
43000100301100330
523101224342224
61252024133100
7142635221334
oct30020612074
98283515840
103225621564
111405863250
12760307190
133c536c919
142285780c4
1513d2aeac9
hexc043143c

3225621564 has 144 divisors (see below), whose sum is σ = 9391898880. Its totient is φ = 923166720.

The previous prime is 3225621559. The next prime is 3225621569. The reversal of 3225621564 is 4651265223.

3225621564 is a `hidden beast` number, since 3 + 2 + 25 + 621 + 5 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3225621559) and next prime (3225621569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225621569) 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 47 ways as a sum of consecutive naturals, for example, 4340977 + ... + 4341719.

It is an arithmetic number, because the mean of its divisors is an integer number (65221520).

Almost surely, 23225621564 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 3225621564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695949440).

3225621564 is an abundant number, since it is smaller than the sum of its proper divisors (6166277316).

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

3225621564 is a wasteful number, since it uses less digits than its factorization.

3225621564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3225621564 is about 56794.5557602135. Note that the first 3 decimals coincide. The cubic root of 3225621564 is about 1477.5350929162.

Adding to 3225621564 its reverse (4651265223), we get a palindrome (7876886787).

The spelling of 3225621564 in words is "three billion, two hundred twenty-five million, six hundred twenty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 577 627 684 743 836 1154 1254 1486 1731 1881 2229 2308 2508 2972 3462 3762 4458 5193 6347 6687 6924 7524 8173 8916 10386 10963 12694 13374 14117 16346 19041 20772 21926 24519 25388 26748 28234 32692 32889 38082 42351 43852 49038 56468 57123 65778 73557 76164 84702 98076 98667 114246 120593 127053 131556 147114 155287 169404 197334 228492 241186 254106 294228 310574 361779 394668 428711 465861 482372 508212 621148 723558 857422 931722 1085337 1286133 1397583 1447116 1714844 1863444 2170674 2572266 2795166 3858399 4341348 4715821 5144532 5590332 7716798 8145509 9431642 14147463 15433596 16291018 18863284 24436527 28294926 32582036 42442389 48873054 56589852 73309581 84884778 89600599 97746108 146619162 169769556 179201198 268801797 293238324 358402396 537603594 806405391 1075207188 1612810782 3225621564