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1222467840 = 28325112877
BaseRepresentation
bin100100011011101…
…0110000100000000
310011012021210121200
41020313112010000
510000422432330
6321145421200
742202543116
oct11067260400
93135253550
101222467840
11578062200
122a149a800
1316635cc69
14b84dbab6
15724c7a60
hex48dd6100

1222467840 has 324 divisors, whose sum is σ = 4654378092. Its totient is φ = 296017920.

The previous prime is 1222467793. The next prime is 1222467853. The reversal of 1222467840 is 487642221.

It can be written as a sum of positive squares in 2 ways, for example, as 753831936 + 468635904 = 27456^2 + 21648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1222467795 and 1222467804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393482 + ... + 1394358.

Almost surely, 21222467840 is an apocalyptic number.

1222467840 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 1222467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327189046).

1222467840 is an abundant number, since it is smaller than the sum of its proper divisors (3431910252).

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

1222467840 is a wasteful number, since it uses less digits than its factorization.

1222467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1222467840 is about 34963.8075729747. The cubic root of 1222467840 is about 1069.2497258792.

The spelling of 1222467840 in words is "one billion, two hundred twenty-two million, four hundred sixty-seven thousand, eight hundred forty".