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3422252000 = 25532273769
BaseRepresentation
bin1100101111111011…
…0110101111100000
322211111120102012002
43023332312233200
524002044031000
61323330423132
7150543443036
oct31376665740
98744512162
103422252000
1114a6854642
127b6131aa8
134270172ab
14246720556
151506a08d5
hexcbfb6be0

3422252000 has 96 divisors (see below), whose sum is σ = 8447755680. Its totient is φ = 1362508800.

The previous prime is 3422251927. The next prime is 3422252021. The reversal of 3422252000 is 2522243.

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 15 ways as a sum of consecutive naturals, for example, 906116 + ... + 909884.

It is an arithmetic number, because the mean of its divisors is an integer number (87997455).

Almost surely, 23422252000 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 3422252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223877840).

3422252000 is an abundant number, since it is smaller than the sum of its proper divisors (5025503680).

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

3422252000 is a wasteful number, since it uses less digits than its factorization.

3422252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3422252000 is about 58500.0170940146. The cubic root of 3422252000 is about 1506.9678786228.

Adding to 3422252000 its reverse (2522243), we get a palindrome (3424774243).

The spelling of 3422252000 in words is "three billion, four hundred twenty-two million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 454 500 800 908 1000 1135 1816 2000 2270 3632 3769 4000 4540 5675 7264 7538 9080 11350 15076 18160 18845 22700 28375 30152 36320 37690 45400 56750 60304 75380 90800 94225 113500 120608 150760 181600 188450 227000 301520 376900 454000 471125 603040 753800 855563 908000 942250 1507600 1711126 1884500 3015200 3422252 3769000 4277815 6844504 7538000 8555630 13689008 15076000 17111260 21389075 27378016 34222520 42778150 68445040 85556300 106945375 136890080 171112600 213890750 342225200 427781500 684450400 855563000 1711126000 3422252000