Search a number
-
+
1222440113400 = 23352115314892347
BaseRepresentation
bin10001110010011111000…
…110111101010011111000
311022212022221201222112120
4101302133012331103320
5130012024132112100
62333325314041240
7154214130343122
oct21623706752370
94285287658476
101222440113400
11431485636460
12178b00879220
138b37768460c
1443248912212
1521be9ca30a0
hex11c9f1bd4f8

1222440113400 has 384 divisors, whose sum is σ = 4216696185600. Its totient is φ = 290438553600.

The previous prime is 1222440113383. The next prime is 1222440113423. The reversal of 1222440113400 is 43110442221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520851027 + ... + 520853373.

It is an arithmetic number, because the mean of its divisors is an integer number (10980979650).

Almost surely, 21222440113400 is an apocalyptic number.

1222440113400 is a gapful number since it is divisible by the number (10) 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 1222440113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108348092800).

1222440113400 is an abundant number, since it is smaller than the sum of its proper divisors (2994256072200).

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

1222440113400 is a wasteful number, since it uses less digits than its factorization.

1222440113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1222440113400 its reverse (43110442221), we get a palindrome (1265550555621).

The spelling of 1222440113400 in words is "one trillion, two hundred twenty-two billion, four hundred forty million, one hundred thirteen thousand, four hundred".