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16220057172 = 22311732397043
BaseRepresentation
bin11110001101100101…
…00110111001010100
31112212101220021111020
433012302212321110
5231204313312142
611241300041140
71112643132264
oct170662467124
945771807436
1016220057172
116973888030
1231880931b0
1316b6543987
14adc2957a4
1564deb2cec
hex3c6ca6e54

16220057172 has 96 divisors (see below), whose sum is σ = 42034083840. Its totient is φ = 4826868480.

The previous prime is 16220057143. The next prime is 16220057173. The reversal of 16220057172 is 27175002261.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16220057173) 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, 2299483 + ... + 2306525.

It is an arithmetic number, because the mean of its divisors is an integer number (437855040).

Almost surely, 216220057172 is an apocalyptic number.

16220057172 is a gapful number since it is divisible by the number (12) 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 16220057172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21017041920).

16220057172 is an abundant number, since it is smaller than the sum of its proper divisors (25814026668).

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

16220057172 is a wasteful number, since it uses less digits than its factorization.

16220057172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7373 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 16220057172 in words is "sixteen billion, two hundred twenty million, fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 239 292 438 478 717 803 876 956 1434 1606 2409 2629 2868 3212 4818 5258 7043 7887 9636 10516 14086 15774 17447 21129 28172 31548 34894 42258 52341 69788 77473 84516 104682 154946 191917 209364 232419 309892 383834 464838 514139 575751 767668 929676 1028278 1151502 1542417 1683277 2056556 2303004 3084834 3366554 5049831 5655529 6169668 6733108 10099662 11311058 16966587 18516047 20199324 22622116 33933174 37032094 55548141 67866348 74064188 111096282 122879221 222192564 245758442 368637663 491516884 737275326 1351671431 1474550652 2703342862 4055014293 5406685724 8110028586 16220057172