Search a number
-
+
68821222400 = 21052717192941
BaseRepresentation
bin100000000011000010…
…0001000010000000000
320120122021021022222222
41000012010020100000
52111421213104100
651341021350212
74654311511160
oct1000604102000
9216567238888
1068821222400
1127206871007
1211408108368
13664a173b08
14348c24c5a0
151bcbdb8485
hex1006108400

68821222400 has 1056 divisors, whose sum is σ = 230272761600. Its totient is φ = 19818086400.

The previous prime is 68821222399. The next prime is 68821222409. The reversal of 68821222400 is 422212886.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (68821222409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1678566380 + ... + 1678566420.

Almost surely, 268821222400 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 68821222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115136380800).

68821222400 is an abundant number, since it is smaller than the sum of its proper divisors (161451539200).

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

68821222400 is a wasteful number, since it uses less digits than its factorization.

68821222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 68821222400 in words is "sixty-eight billion, eight hundred twenty-one million, two hundred twenty-two thousand, four hundred".