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1397223135 = 335711139967
BaseRepresentation
bin101001101000111…
…1110111011011111
310121101010021211000
41103101332323133
510330142120020
6350351201343
746424125560
oct12321767337
93541107730
101397223135
11657772470
1232bb16253
13193618869
14d37cc167
15829e7090
hex5347eedf

1397223135 has 128 divisors (see below), whose sum is σ = 3122380800. Its totient is φ = 575890560.

The previous prime is 1397223109. The next prime is 1397223137. The reversal of 1397223135 is 5313227931.

It is a happy number.

1397223135 is a `hidden beast` number, since 1 + 397 + 2 + 231 + 35 = 666.

It is not a de Polignac number, because 1397223135 - 214 = 1397206751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1397223135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397223137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1444422 + ... + 1445388.

It is an arithmetic number, because the mean of its divisors is an integer number (24393600).

Almost surely, 21397223135 is an apocalyptic number.

1397223135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1397223135 is an abundant number, since it is smaller than the sum of its proper divisors (1725157665).

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

1397223135 is a wasteful number, since it uses less digits than its factorization.

1397223135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 1397223135 is about 37379.4480296325. The cubic root of 1397223135 is about 1117.9488220125.

The spelling of 1397223135 in words is "one billion, three hundred ninety-seven million, two hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 139 165 189 231 297 315 385 417 495 693 695 945 967 973 1155 1251 1485 1529 2079 2085 2901 2919 3465 3753 4587 4835 4865 6255 6769 7645 8703 8757 10395 10637 10703 13761 14505 14595 18765 20307 22935 26109 26271 31911 32109 33845 41283 43515 43785 53185 53515 60921 68805 74459 95733 96327 101535 130545 131355 134413 159555 160545 182763 206415 223377 287199 288981 304605 372295 403239 478665 481635 670131 672065 913815 940891 1116885 1209717 1435995 1444905 1478543 2010393 2016195 2822673 3350655 3629151 4435629 4704455 6048585 7392715 8468019 10051965 10349801 13306887 14113365 18145755 22178145 25404057 31049403 39920661 42340095 51749005 66534435 93148209 127020285 155247015 199603305 279444627 465741045 1397223135