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5222653344 = 253279229547
BaseRepresentation
bin1001101110100101…
…10101110110100000
3111110222100021112100
410313102311312200
541143444401334
62222123330400
7243264551406
oct46722656640
914428307470
105222653344
112240062837
121019080a00
13653017c2c
1437789d476
15208787c99
hex1374b5da0

5222653344 has 72 divisors (see below), whose sum is σ = 15039984960. Its totient is φ = 1718840448.

The previous prime is 5222653343. The next prime is 5222653363. The reversal of 5222653344 is 4433562225.

5222653344 is a `hidden beast` number, since 52 + 2 + 265 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52226533442 = 54552215903188764672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5222653299 and 5222653308.

It is not an unprimeable number, because it can be changed into a prime (5222653343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92022 + ... + 137525.

It is an arithmetic number, because the mean of its divisors is an integer number (208888680).

Almost surely, 25222653344 is an apocalyptic number.

It is an amenable number.

5222653344 is an abundant number, since it is smaller than the sum of its proper divisors (9817331616).

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

5222653344 is a wasteful number, since it uses less digits than its factorization.

5222653344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229642 (or 229631 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 5222653344 is about 72267.9274920763. The cubic root of 5222653344 is about 1734.9903626824.

It can be divided in two parts, 52226 and 53344, that added together give a triangular number (105570 = T459).

The spelling of 5222653344 in words is "five billion, two hundred twenty-two million, six hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 229547 459094 688641 918188 1377282 1836376 2065923 2754564 3672752 4131846 5509128 7345504 8263692 11018256 16527384 18134213 22036512 33054768 36268426 54402639 66109536 72536852 108805278 145073704 163207917 217610556 290147408 326415834 435221112 580294816 652831668 870442224 1305663336 1740884448 2611326672 5222653344