Search a number
-
+
16728222224 = 2471722433917
BaseRepresentation
bin11111001010001010…
…00110101000010000
31121011211002201220002
433211011012220100
5233224411102344
611403531505132
71131353354120
oct174505065020
947154081802
1016728222224
117104710a4a
1232aa2b81a8
1317678c735c
14b49974c80
1567d8e044e
hex3e5146a10

16728222224 has 80 divisors (see below), whose sum is σ = 39247452288. Its totient is φ = 6742788096.

The previous prime is 16728222223. The next prime is 16728222227. The reversal of 16728222224 is 42222282761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16728222223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4268714 + ... + 4272630.

Almost surely, 216728222224 is an apocalyptic number.

16728222224 is a gapful number since it is divisible by the number (14) 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 16728222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623726144).

16728222224 is an abundant number, since it is smaller than the sum of its proper divisors (22519230064).

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

16728222224 is a wasteful number, since it uses less digits than its factorization.

16728222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6186 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The spelling of 16728222224 in words is "sixteen billion, seven hundred twenty-eight million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2243 3917 4486 7834 8972 15668 15701 17944 27419 31336 31402 35888 38131 54838 62672 62804 66589 76262 109676 125608 133178 152524 219352 251216 266356 266917 305048 438704 466123 532712 533834 610096 932246 1065424 1067668 1864492 2135336 3728984 4270672 7457968 8785831 17571662 35143324 61500817 70286648 123001634 140573296 149359127 246003268 298718254 492006536 597436508 984013072 1045513889 1194873016 2091027778 2389746032 4182055556 8364111112 16728222224