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3422243000 = 235311228283
BaseRepresentation
bin1100101111111011…
…0100100010111000
322211111112221211202
43023332310202320
524002043234000
61323330313332
7150543404561
oct31376644270
98744487752
103422243000
1114a6848900
127b6128848
13427013177
1424671b168
1515069cdd5
hexcbfb48b8

3422243000 has 96 divisors (see below), whose sum is σ = 8802546480. Its totient is φ = 1244408000.

The previous prime is 3422242973. The next prime is 3422243029. The reversal of 3422243000 is 3422243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106859 + ... + 135141.

Almost surely, 23422243000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401273240).

3422243000 is an abundant number, since it is smaller than the sum of its proper divisors (5380303480).

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

3422243000 is a wasteful number, since it uses less digits than its factorization.

3422243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28326 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3422243000 is about 58499.9401709096. The cubic root of 3422243000 is about 1506.9665575899.

Adding to 3422243000 its reverse (3422243), we get a palindrome (3425665243).

3422243000 divided by its reverse (3422243) gives a cube (1000 = 103).

The spelling of 3422243000 in words is "three billion, four hundred twenty-two million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 28283 30250 56566 60500 113132 121000 141415 226264 282830 311113 565660 622226 707075 1131320 1244452 1414150 1555565 2488904 2828300 3111130 3422243 3535375 5656600 6222260 6844486 7070750 7777825 12444520 13688972 14141500 15555650 17111215 27377944 28283000 31111300 34222430 38889125 62222600 68444860 77778250 85556075 136889720 155556500 171112150 311113000 342224300 427780375 684448600 855560750 1711121500 3422243000