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7230640416 = 253167451013
BaseRepresentation
bin1101011101111101…
…01101000100100000
3200122220201120221220
412232332231010200
5104302020443131
63153253415040
7344116300206
oct65676550440
920586646856
107230640416
11308056518a
12149963a480
138b302a86c
144c8437076
152c4bc6e96
hex1aefad120

7230640416 has 48 divisors (see below), whose sum is σ = 19094128704. Its totient is φ = 2395775744.

The previous prime is 7230640409. The next prime is 7230640423. The reversal of 7230640416 is 6140460327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7230640409) and next prime (7230640423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×72306404163 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 209475 + ... + 241538.

It is an arithmetic number, because the mean of its divisors is an integer number (397794348).

Almost surely, 27230640416 is an apocalyptic number.

It is an amenable number.

7230640416 is an abundant number, since it is smaller than the sum of its proper divisors (11863488288).

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

7230640416 is a wasteful number, since it uses less digits than its factorization.

7230640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451193 (or 451185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 7230640416 is about 85033.1724446407. The cubic root of 7230640416 is about 1933.7140590930.

The spelling of 7230640416 in words is "seven billion, two hundred thirty million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 451013 902026 1353039 1804052 2706078 3608104 5412156 7216208 10824312 14432416 21648624 43297248 75319171 150638342 225957513 301276684 451915026 602553368 903830052 1205106736 1807660104 2410213472 3615320208 7230640416