Search a number
-
+
16219272 = 2334153311
BaseRepresentation
bin111101110111…
…110010001000
31010112000122210
4331313302020
513123004042
61335345120
7254601336
oct75676210
933460583
1016219272
119178863
1255221a0
13348b604
142222b56
151655a9c
hexf77c88

16219272 has 64 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 5158400.

The previous prime is 16219211. The next prime is 16219289. The reversal of 16219272 is 27291261.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51997 + ... + 52307.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 216219272 is an apocalyptic number.

16219272 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 16219272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

16219272 is an abundant number, since it is smaller than the sum of its proper divisors (26237688).

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

16219272 is a wasteful number, since it uses less digits than its factorization.

16219272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 16219272 is about 4027.3157313526. The cubic root of 16219272 is about 253.1300970777.

The spelling of 16219272 in words is "sixteen million, two hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 53 82 106 123 159 164 212 246 311 318 328 424 492 622 636 933 984 1244 1272 1866 2173 2488 3732 4346 6519 7464 8692 12751 13038 16483 17384 25502 26076 32966 38253 49449 51004 52152 65932 76506 98898 102008 131864 153012 197796 306024 395592 675803 1351606 2027409 2703212 4054818 5406424 8109636 16219272