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3222038169 = 3472172532
BaseRepresentation
bin1100000000001100…
…0110011010011001
322022112211111110000
43000003012122121
523044320210134
61251415243213
7142562605200
oct30003063231
98275744400
103222038169
111403835a69
1275b079509
133c46b687c
14227cc4237
1513cd02e99
hexc00c6699

3222038169 has 135 divisors (see below), whose sum is σ = 6062056077. Its totient is φ = 1700165376.

The previous prime is 3222038161. The next prime is 3222038179. The reversal of 3222038169 is 9618302223.

The square root of 3222038169 is 56763.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 807298569 + 2414739600 = 28413^2 + 49140^2 .

It is not a de Polignac number, because 3222038169 - 23 = 3222038161 is a prime.

It is a super-2 number, since 2×32220381692 = 20763059924985745122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3222038161) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60793147 + ... + 60793199.

Almost surely, 23222038169 is an apocalyptic number.

3222038169 is the 56763-rd square number.

3222038169 is the 28382-nd centered octagonal number.

It is an amenable number.

3222038169 is a deficient number, since it is larger than the sum of its proper divisors (2840017908).

3222038169 is an equidigital number, since it uses as much as digits as its factorization.

3222038169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 3222038169 is about 1476.9877509971.

Multiplying 3222038169 by its sum of digits (36), we get a square (115993374084 = 3405782).

The spelling of 3222038169 in words is "three billion, two hundred twenty-two million, thirty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 17 21 27 49 51 53 63 81 119 147 153 159 189 289 357 371 441 459 477 567 833 867 901 1071 1113 1323 1377 1431 2023 2499 2597 2601 2703 2809 3213 3339 3969 4293 6069 6307 7497 7791 7803 8109 8427 9639 10017 14161 15317 18207 18921 19663 22491 23373 23409 24327 25281 30051 42483 44149 45951 47753 54621 56763 58989 67473 70119 72981 75843 107219 127449 132447 137641 137853 143259 163863 170289 176967 210357 227529 321657 334271 382347 397341 412923 413559 429777 510867 530901 750533 811801 964971 1002813 1147041 1192023 1238769 1240677 1289331 1592703 2251599 2339897 2435403 2894913 3008439 3576069 3716307 3867993 5682607 6754797 7019691 7306209 8684739 9025317 11148921 17047821 20264391 21059073 21918627 27075951 39778249 51143463 60793173 63177219 65755881 119334747 153430389 189531657 358004241 460291167 1074012723 3222038169