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5221132344 = 2334173115289
BaseRepresentation
bin1001101110011010…
…00010100000111000
3111110212111000010000
410313031002200320
541143102213334
62222030553000
7243245615121
oct46715024070
914425430100
105221132344
11223a21400a
121018668760
1365290482c
143775c5048
15208587299
hex137342838

5221132344 has 160 divisors (see below), whose sum is σ = 15984777600. Its totient is φ = 1585059840.

The previous prime is 5221132339. The next prime is 5221132349. The reversal of 5221132344 is 4432311225.

5221132344 is a `hidden beast` number, since 522 + 1 + 132 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5221132339) and next prime (5221132349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221132349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333852 + ... + 349140.

It is an arithmetic number, because the mean of its divisors is an integer number (99904860).

Almost surely, 25221132344 is an apocalyptic number.

5221132344 is a gapful number since it is divisible by the number (54) 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 5221132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992388800).

5221132344 is an abundant number, since it is smaller than the sum of its proper divisors (10763645256).

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

5221132344 is a wasteful number, since it uses less digits than its factorization.

5221132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15355 (or 15342 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5221132344 is about 72257.4033853971. The cubic root of 5221132344 is about 1734.8219185099.

Adding to 5221132344 its reverse (4432311225), we get a palindrome (9653443569).

The spelling of 5221132344 in words is "five billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 81 93 102 108 124 136 153 162 186 204 216 248 279 306 324 372 408 459 527 558 612 648 744 837 918 1054 1116 1224 1377 1581 1674 1836 2108 2232 2511 2754 3162 3348 3672 4216 4743 5022 5508 6324 6696 9486 10044 11016 12648 14229 15289 18972 20088 28458 30578 37944 42687 45867 56916 61156 85374 91734 113832 122312 137601 170748 183468 259913 275202 341496 366936 412803 473959 519826 550404 779739 825606 947918 1039652 1100808 1238409 1421877 1559478 1651212 1895836 2079304 2339217 2476818 2843754 3118956 3302424 3791672 4265631 4678434 4953636 5687508 6237912 7017651 8057303 8531262 9356868 9907272 11375016 12796893 14035302 16114606 17062524 18713736 21052953 24171909 25593786 28070604 32229212 34125048 38390679 42105906 48343818 51187572 56141208 64458424 72515727 76781358 84211812 96687636 102375144 145031454 153562716 168423624 193375272 217547181 290062908 307125432 435094362 580125816 652641543 870188724 1305283086 1740377448 2610566172 5221132344