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1226644146420 = 22357111170122691
BaseRepresentation
bin10001110110011001101…
…100000100100011110100
311100021011221100222200020
4101312121230010203310
5130044131400141140
62335302413045140
7154423246132140
oct21663154044364
94307157328606
101226644146420
11433242707710
121798947867b0
138b897642c14
1443526db8220
1521d93dcc6d0
hex11d99b048f4

1226644146420 has 192 divisors, whose sum is σ = 4282657892352. Its totient is φ = 254854080000.

The previous prime is 1226644146419. The next prime is 1226644146421. The reversal of 1226644146420 is 246414466221.

It is an interprime number because it is at equal distance from previous prime (1226644146419) and next prime (1226644146421).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226644146421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54047275 + ... + 54069965.

It is an arithmetic number, because the mean of its divisors is an integer number (22305509856).

Almost surely, 21226644146420 is an apocalyptic number.

1226644146420 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 1226644146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141328946176).

1226644146420 is an abundant number, since it is smaller than the sum of its proper divisors (3056013745932).

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

1226644146420 is a wasteful number, since it uses less digits than its factorization.

1226644146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34422 (or 34420 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1226644146420 in words is "one trillion, two hundred twenty-six billion, six hundred forty-four million, one hundred forty-six thousand, four hundred twenty".