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4223076 = 223111323107
BaseRepresentation
bin10000000111000001100100
321221112222020
4100013001210
52040114301
6230303140
750616114
oct20070144
97845866
104223076
112424950
1214b7ab0
13b4b280
147bd044
15586436
hex407064

4223076 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1119360.

The previous prime is 4223071. The next prime is 4223083. The reversal of 4223076 is 6703224.

4223076 = T168 + T169 + ... + T310.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39415 + ... + 39521.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 24223076 is an apocalyptic number.

4223076 is a gapful number since it is divisible by the number (46) 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 4223076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4223076 is an abundant number, since it is smaller than the sum of its proper divisors (7969692).

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

4223076 is a wasteful number, since it uses less digits than its factorization.

4223076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4223076 is about 2055.0124087217. The cubic root of 4223076 is about 161.6378130153.

The spelling of 4223076 in words is "four million, two hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 107 132 138 143 156 214 253 276 286 299 321 428 429 506 572 598 642 759 858 897 1012 1177 1196 1284 1391 1518 1716 1794 2354 2461 2782 3036 3289 3531 3588 4173 4708 4922 5564 6578 7062 7383 8346 9844 9867 13156 14124 14766 15301 16692 19734 27071 29532 30602 31993 39468 45903 54142 61204 63986 81213 91806 95979 108284 127972 162426 183612 191958 324852 351923 383916 703846 1055769 1407692 2111538 4223076