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6226542160 = 2451096731061
BaseRepresentation
bin1011100110010000…
…10111111001010000
3121001221100010002121
411303020113321100
5100222443322120
62505504224024
7310204510066
oct56310277120
917057303077
106226542160
1127057a2313
12125930b014
13782cb7197
14430d40036
152669865aa
hex173217e50

6226542160 has 80 divisors (see below), whose sum is σ = 14645022480. Its totient is φ = 2461777920.

The previous prime is 6226542149. The next prime is 6226542163. The reversal of 6226542160 is 612456226.

It can be written as a sum of positive squares in 8 ways, for example, as 3225616 + 6223316544 = 1796^2 + 78888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6226542163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5868030 + ... + 5869090.

It is an arithmetic number, because the mean of its divisors is an integer number (183062781).

Almost surely, 26226542160 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 6226542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322511240).

6226542160 is an abundant number, since it is smaller than the sum of its proper divisors (8418480320).

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

6226542160 is a wasteful number, since it uses less digits than its factorization.

6226542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 6226542160 is about 78908.4416269894. The cubic root of 6226542160 is about 1839.7083422407.

Adding to 6226542160 its reverse (612456226), we get a palindrome (6838998386).

The spelling of 6226542160 in words is "six billion, two hundred twenty-six million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 673 872 1061 1090 1346 1744 2122 2180 2692 3365 4244 4360 5305 5384 6730 8488 8720 10610 10768 13460 16976 21220 26920 42440 53840 73357 84880 115649 146714 231298 293428 366785 462596 578245 586856 714053 733570 925192 1156490 1173712 1428106 1467140 1850384 2312980 2856212 2934280 3570265 4625960 5712424 5868560 7140530 9251920 11424848 14281060 28562120 57124240 77831777 155663554 311327108 389158885 622654216 778317770 1245308432 1556635540 3113271080 6226542160