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7225430168 = 23111713934747
BaseRepresentation
bin1101011101010101…
…10101000010011000
3200122112220212211202
412232222311002120
5104244202231133
63152550013332
7344024100035
oct65652650230
920575825752
107225430168
1130786266a0
121497947248
138b1c25188
144c787c38c
152c44e82e8
hex1aeab5098

7225430168 has 64 divisors (see below), whose sum is σ = 15761692800. Its totient is φ = 3068766720.

The previous prime is 7225430167. The next prime is 7225430171. The reversal of 7225430168 is 8610345227.

It is a happy number.

It is a super-2 number, since 2×72254301682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7225430167) 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, 190571 + ... + 225317.

It is an arithmetic number, because the mean of its divisors is an integer number (246276450).

Almost surely, 27225430168 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 7225430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880846400).

7225430168 is an abundant number, since it is smaller than the sum of its proper divisors (8536262632).

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

7225430168 is a wasteful number, since it uses less digits than its factorization.

7225430168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920 (or 34916 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 7225430168 is about 85002.5303623369. The cubic root of 7225430168 is about 1933.2494828741.

The spelling of 7225430168 in words is "seven billion, two hundred twenty-five million, four hundred thirty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 139 187 278 374 556 748 1112 1496 1529 2363 3058 4726 6116 9452 12232 18904 25993 34747 51986 69494 103972 138988 207944 277976 382217 590699 764434 1181398 1528868 2362796 3057736 4725592 4829833 6497689 9659666 12995378 19319332 25990756 38638664 51981512 53128163 82107161 106256326 164214322 212512652 328428644 425025304 656857288 903178771 1806357542 3612715084 7225430168