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3425225200 = 245243972053
BaseRepresentation
bin1100110000101000…
…1100100111110000
322211201011110122121
43030022030213300
524003324201300
61323514244024
7150610635205
oct31412144760
98751143577
103425225200
1114a84a5431
127b7126614
13427818697
14246c95cac
15150a8b81a
hexcc28c9f0

3425225200 has 120 divisors (see below), whose sum is σ = 8511430928. Its totient is φ = 1323786240.

The previous prime is 3425225183. The next prime is 3425225203. The reversal of 3425225200 is 25225243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425225203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667374 + ... + 1669426.

Almost surely, 23425225200 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 3425225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255715464).

3425225200 is an abundant number, since it is smaller than the sum of its proper divisors (5086205728).

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

3425225200 is a wasteful number, since it uses less digits than its factorization.

3425225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 3425225200 is about 58525.4235354175. The cubic root of 3425225200 is about 1507.4041624877.

The spelling of 3425225200 in words is "three billion, four hundred twenty-five million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 97 100 172 194 200 215 344 388 400 430 485 688 776 860 970 1075 1552 1720 1940 2053 2150 2425 3440 3880 4106 4171 4300 4850 7760 8212 8342 8600 9700 10265 16424 16684 17200 19400 20530 20855 32848 33368 38800 41060 41710 51325 66736 82120 83420 88279 102650 104275 164240 166840 176558 199141 205300 208550 333680 353116 398282 410600 417100 441395 706232 796564 821200 834200 882790 995705 1412464 1593128 1668400 1765580 1991410 2206975 3186256 3531160 3982820 4413950 4978525 7062320 7965640 8563063 8827900 9957050 15931280 17126126 17655800 19914100 34252252 35311600 39828200 42815315 68504504 79656400 85630630 137009008 171261260 214076575 342522520 428153150 685045040 856306300 1712612600 3425225200