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7242248130 = 2351323379699
BaseRepresentation
bin1101011111010101…
…11110111111000010
3200200201120022202020
412233222332333002
5104313003420010
63154350302310
7344320044015
oct65752767702
920621508666
107242248130
113087073237
1214a14b7996
138b5563130
144c9bb937c
152c5c1b470
hex1afabefc2

7242248130 has 64 divisors (see below), whose sum is σ = 18798998400. Its totient is φ = 1775033856.

The previous prime is 7242248093. The next prime is 7242248131. The reversal of 7242248130 is 318422427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7242248091 and 7242248100.

It is not an unprimeable number, because it can be changed into a prime (7242248131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51021 + ... + 130719.

It is an arithmetic number, because the mean of its divisors is an integer number (293734350).

Almost surely, 27242248130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242248130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399499200).

7242248130 is an abundant number, since it is smaller than the sum of its proper divisors (11556750270).

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

7242248130 is a wasteful number, since it uses less digits than its factorization.

7242248130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79955.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 7242248130 is about 85101.3991071827. The cubic root of 7242248130 is about 1934.7482689708.

The spelling of 7242248130 in words is "seven billion, two hundred forty-two million, two hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 233 390 466 699 1165 1398 2330 3029 3495 6058 6990 9087 15145 18174 30290 45435 79699 90870 159398 239097 398495 478194 796990 1036087 1195485 2072174 2390970 3108261 5180435 6216522 10360870 15541305 18569867 31082610 37139734 55709601 92849335 111419202 185698670 241408271 278548005 482816542 557096010 724224813 1207041355 1448449626 2414082710 3621124065 7242248130