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338220069 = 31129438219
BaseRepresentation
bin10100001010001…
…101010000100101
3212120102100201020
4110022031100211
51143041020234
653321121353
711244552225
oct2412152045
9776370636
10338220069
11163a09820
1295329259
13550c0425
1432cc2085
151ea5d549
hex1428d425

338220069 has 32 divisors (see below), whose sum is σ = 520819200. Its totient is φ = 193287360.

The previous prime is 338220019. The next prime is 338220079. The reversal of 338220069 is 960022833.

It is not a de Polignac number, because 338220069 - 27 = 338219941 is a prime.

It is a super-2 number, since 2×3382200692 = 228785630148729522, which contains 22 as substring.

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 (338220019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37042 + ... + 45260.

It is an arithmetic number, because the mean of its divisors is an integer number (16275600).

Almost surely, 2338220069 is an apocalyptic number.

It is an amenable number.

338220069 is a deficient number, since it is larger than the sum of its proper divisors (182599131).

338220069 is a wasteful number, since it uses less digits than its factorization.

338220069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 338220069 is about 18390.7604247350. The cubic root of 338220069 is about 696.7331235744.

The spelling of 338220069 in words is "three hundred thirty-eight million, two hundred twenty thousand, sixty-nine".

Divisors: 1 3 11 29 33 43 87 129 319 473 957 1247 1419 3741 8219 13717 24657 41151 90409 238351 271227 353417 715053 1060251 2621861 3887587 7865583 10249093 11662761 30747279 112740023 338220069