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159220404 = 2235723343
BaseRepresentation
bin10010111110110…
…00001010110100
3102002121020100000
421133120022310
5311230023104
623444351300
73642231300
oct1137301264
9362536300
10159220404
118196a712
12453a5530
1326ca9975
1417208d00
15dea1639
hex97d82b4

159220404 has 108 divisors (see below), whose sum is σ = 485669184. Its totient is φ = 45477936.

The previous prime is 159220403. The next prime is 159220429. The reversal of 159220404 is 404022951.

159220404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1592204042 = 50702274099846432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159220403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45957 + ... + 49299.

Almost surely, 2159220404 is an apocalyptic number.

159220404 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 159220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242834592).

159220404 is an abundant number, since it is smaller than the sum of its proper divisors (326448780).

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

159220404 is a wasteful number, since it uses less digits than its factorization.

159220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 159220404 is about 12618.2567734216. The cubic root of 159220404 is about 542.0003585642. Note that the first 3 decimals are identical.

The spelling of 159220404 in words is "one hundred fifty-nine million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3343 3402 3969 5292 6686 6804 7938 10029 11907 13372 15876 20058 23401 23814 30087 40116 46802 47628 60174 70203 90261 93604 120348 140406 163807 180522 210609 270783 280812 327614 361044 421218 491421 541566 631827 655228 812349 842436 982842 1083132 1263654 1474263 1624698 1895481 1965684 2527308 2948526 3249396 3790962 4422789 5686443 5897052 7581924 8845578 11372886 13268367 17691156 22745772 26536734 39805101 53073468 79610202 159220404