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16220214460 = 2252949156957
BaseRepresentation
bin11110001101100110…
…01101010010111100
31112212102012021020201
433012303031102330
5231204333330320
611241303253244
71112644355662
oct170663152274
945772167221
1016220214460
11697398521a
12318814a224
1316b659a448
14adc2d6c32
1564dee470a
hex3c6ccd4bc

16220214460 has 48 divisors (see below), whose sum is σ = 35309403360. Its totient is φ = 6251490560.

The previous prime is 16220214457. The next prime is 16220214497. The reversal of 16220214460 is 6441202261.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 256302 + ... + 313258.

It is an arithmetic number, because the mean of its divisors is an integer number (735612570).

Almost surely, 216220214460 is an apocalyptic number.

16220214460 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 16220214460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654701680).

16220214460 is an abundant number, since it is smaller than the sum of its proper divisors (19089188900).

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

16220214460 is a wasteful number, since it uses less digits than its factorization.

16220214460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57486 (or 57484 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 16220214460 in words is "sixteen billion, two hundred twenty million, two hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 491 580 982 1964 2455 4910 9820 14239 28478 56956 56957 71195 113914 142390 227828 284780 284785 569570 1139140 1651753 3303506 6607012 8258765 16517530 27965887 33035060 55931774 111863548 139829435 279658870 559317740 811010723 1622021446 3244042892 4055053615 8110107230 16220214460