Search a number
-
+
1337928228 = 2232713408403
BaseRepresentation
bin100111110111111…
…0010101000100100
310110020112210111100
41033233302220210
510220002200403
6340432240100
745104126250
oct11757625044
93406483440
101337928228
1162725330a
123140a0030
13184257810
14c9995260
157c6d32a3
hex4fbf2a24

1337928228 has 72 divisors (see below), whose sum is σ = 4162453568. Its totient is φ = 352859328.

The previous prime is 1337928223. The next prime is 1337928233. The reversal of 1337928228 is 8228297331.

1337928228 is a `hidden beast` number, since 1 + 337 + 92 + 8 + 228 = 666.

It is an interprime number because it is at equal distance from previous prime (1337928223) and next prime (1337928233).

It is not an unprimeable number, because it can be changed into a prime (1337928223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200926 + ... + 207477.

Almost surely, 21337928228 is an apocalyptic number.

1337928228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1337928228 is an abundant number, since it is smaller than the sum of its proper divisors (2824525340).

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

1337928228 is a wasteful number, since it uses less digits than its factorization.

1337928228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408433 (or 408428 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1337928228 is about 36577.7012399631. The cubic root of 1337928228 is about 1101.9053006942.

The spelling of 1337928228 in words is "one billion, three hundred thirty-seven million, nine hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 408403 816806 1225209 1633612 2450418 2858821 3675627 4900836 5309239 5717642 7351254 8576463 10618478 11435284 14702508 15927717 17152926 21236956 25729389 31855434 34305852 37164673 47783151 51458778 63710868 74329346 95566302 102917556 111494019 148658692 191132604 222988038 334482057 445976076 668964114 1337928228