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16221000090 = 2357118674079
BaseRepresentation
bin11110001101101100…
…01101000110011010
31112212110200011221010
433012312031012122
5231210034000330
611241332154350
71112654140311
oct170666150632
945773604833
1016221000090
1169743714a9
1231884689b6
1316b67b3c09
14adc45d278
1564e0ec3b0
hex3c6d8d19a

16221000090 has 64 divisors (see below), whose sum is σ = 39509544960. Its totient is φ = 4261346880.

The previous prime is 16221000071. The next prime is 16221000091. The reversal of 16221000090 is 9000012261.

It is not an unprimeable number, because it can be changed into a prime (16221000091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3974671 + ... + 3978749.

It is an arithmetic number, because the mean of its divisors is an integer number (617336640).

Almost surely, 216221000090 is an apocalyptic number.

16221000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16221000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754772480).

16221000090 is an abundant number, since it is smaller than the sum of its proper divisors (23288544870).

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

16221000090 is a wasteful number, since it uses less digits than its factorization.

16221000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 16221000090 in words is "sixteen billion, two hundred twenty-one million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 1867 2130 3734 4079 5601 8158 9335 11202 12237 18670 20395 24474 28005 40790 56010 61185 122370 132557 265114 289609 397671 579218 662785 795342 868827 1325570 1448045 1737654 1988355 2896090 3976710 4344135 7615493 8688270 15230986 22846479 38077465 45692958 76154930 114232395 228464790 540700003 1081400006 1622100009 2703500015 3244200018 5407000030 8110500045 16221000090