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4223835 = 3257112353
BaseRepresentation
bin10000000111001101011011
321221121000100
4100013031123
52040130320
6230310443
750621250
oct20071533
97847010
104223835
112425480
1214b8423
13b4b715
147bd427
15586790
hex40735b

4223835 has 96 divisors (see below), whose sum is σ = 9704448. Its totient is φ = 1647360.

The previous prime is 4223831. The next prime is 4223839. The reversal of 4223835 is 5383224.

4223835 = T41 + T42 + ... + T293.

It is an interprime number because it is at equal distance from previous prime (4223831) and next prime (4223839).

It is not a de Polignac number, because 4223835 - 22 = 4223831 is a prime.

It is a d-powerful number, because it can be written as 42 + 28 + 222 + 38 + 83 + 38 + 56 .

It is a junction number, because it is equal to n+sod(n) for n = 4223799 and 4223808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223831) 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 95 ways as a sum of consecutive naturals, for example, 79669 + ... + 79721.

It is an arithmetic number, because the mean of its divisors is an integer number (101088).

Almost surely, 24223835 is an apocalyptic number.

4223835 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4223835 is an abundant number, since it is smaller than the sum of its proper divisors (5480613).

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

4223835 is a wasteful number, since it uses less digits than its factorization.

4223835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4223835 is about 2055.1970708426. The cubic root of 4223835 is about 161.6474959850.

The spelling of 4223835 in words is "four million, two hundred twenty-three thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 23 33 35 45 53 55 63 69 77 99 105 115 159 161 165 207 231 253 265 315 345 371 385 477 483 495 583 693 759 795 805 1035 1113 1155 1219 1265 1449 1749 1771 1855 2277 2385 2415 2915 3339 3465 3657 3795 4081 5247 5313 5565 6095 7245 8533 8745 8855 10971 11385 12243 13409 15939 16695 18285 20405 25599 26235 26565 36729 40227 42665 54855 61215 67045 76797 79695 93863 120681 127995 183645 201135 281589 383985 469315 603405 844767 1407945 4223835