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1220195340 = 223557133189
BaseRepresentation
bin100100010111010…
…1011010000001100
310011001000100100000
41020232223100030
54444332222330
6321025004300
742144326550
oct11056532014
93131010300
101220195340
1157684a901
122a0783690
13165a457a0
14b80a9860
15721c9560
hex48bab40c

1220195340 has 576 divisors, whose sum is σ = 4931297280. Its totient is φ = 246343680.

The previous prime is 1220195323. The next prime is 1220195351. The reversal of 1220195340 is 435910221.

1220195340 is a `hidden beast` number, since 122 + 0 + 1 + 9 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13710016 + ... + 13710104.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 21220195340 is an apocalyptic number.

1220195340 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 1220195340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

1220195340 is an abundant number, since it is smaller than the sum of its proper divisors (3711101940).

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

1220195340 is a wasteful number, since it uses less digits than its factorization.

1220195340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1220195340 is about 34931.2945651890. The cubic root of 1220195340 is about 1068.5867562304.

The spelling of 1220195340 in words is "one billion, two hundred twenty million, one hundred ninety-five thousand, three hundred forty".