Search a number
-
+
7229808012420 = 2232571719109316253
BaseRepresentation
bin110100100110101001000…
…1000110110110010000100
3221121011101202021120210200
41221031102020312302010
51421423121322344140
623213154500450500
71344223245066420
oct151152210666204
927534352246720
107229808012420
112338165162454
129892280a9a30
134059ca2cc576
141adcd3067b80
15c80e59c7030
hex69352236c84

7229808012420 has 576 divisors, whose sum is σ = 27961644372480. Its totient is φ = 1472022429696.

The previous prime is 7229808012409. The next prime is 7229808012433. The reversal of 7229808012420 is 242108089227.

It is a happy number.

7229808012420 is a `hidden beast` number, since 72 + 2 + 9 + 80 + 80 + 1 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444821014 + ... + 444837266.

It is an arithmetic number, because the mean of its divisors is an integer number (48544521480).

Almost surely, 27229808012420 is an apocalyptic number.

7229808012420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7229808012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980822186240).

7229808012420 is an abundant number, since it is smaller than the sum of its proper divisors (20731836360060).

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

7229808012420 is a wasteful number, since it uses less digits than its factorization.

7229808012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17404 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 7229808012420 in words is "seven trillion, two hundred twenty-nine billion, eight hundred eight million, twelve thousand, four hundred twenty".