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1220106888 = 233671121319
BaseRepresentation
bin100100010111001…
…0101101010001000
310011000211212000000
41020232111222020
54444321410023
6321023043000
742143510640
oct11056255210
93130755000
101220106888
1157679a400
122a0740460
13165a14450
14b8085520
15721ad243
hex48b95a88

1220106888 has 672 divisors, whose sum is σ = 4884398400. Its totient is φ = 277136640.

The previous prime is 1220106871. The next prime is 1220106941. The reversal of 1220106888 is 8886010221.

It is a super-4 number, since 4×12201068884 (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 64216143 + ... + 64216161.

It is an arithmetic number, because the mean of its divisors is an integer number (7268450).

Almost surely, 21220106888 is an apocalyptic number.

1220106888 is a gapful number since it is divisible by the number (18) 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 1220106888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442199200).

1220106888 is an abundant number, since it is smaller than the sum of its proper divisors (3664291512).

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

1220106888 is a wasteful number, since it uses less digits than its factorization.

1220106888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1220106888 is about 34930.0284569022. The cubic root of 1220106888 is about 1068.5609349769.

The spelling of 1220106888 in words is "one billion, two hundred twenty million, one hundred six thousand, eight hundred eighty-eight".