Search a number
-
+
1222053510440 = 235724347308509
BaseRepresentation
bin10001110010001000000…
…100001011110100101000
311022211100000021111222102
4101302020010023310220
5130010231144313230
62333223103512532
7154201424306600
oct21621004136450
94284300244872
101222053510440
114312a7390984
12178a132b8748
138b315553b79
144320d437c00
1521bc5d89045
hex11c8810bd28

1222053510440 has 192 divisors, whose sum is σ = 3342570105600. Its totient is φ = 400537170432.

The previous prime is 1222053510439. The next prime is 1222053510443. The reversal of 1222053510440 is 440153502221.

It is not an unprimeable number, because it can be changed into a prime (1222053510443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3806906 + ... + 4115414.

It is an arithmetic number, because the mean of its divisors is an integer number (17409219300).

Almost surely, 21222053510440 is an apocalyptic number.

1222053510440 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 1222053510440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671285052800).

1222053510440 is an abundant number, since it is smaller than the sum of its proper divisors (2120516595160).

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

1222053510440 is a wasteful number, since it uses less digits than its factorization.

1222053510440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308624 (or 308613 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 1222053510440 in words is "one trillion, two hundred twenty-two billion, fifty-three million, five hundred ten thousand, four hundred forty".