Search a number
-
+
2998219230 = 23252910511093
BaseRepresentation
bin1011001010110101…
…0011000111011110
321201221200022120200
42302231103013132
522120021003410
61213302124330
7134204304636
oct26255230736
97657608520
102998219230
1112a9464536
126b81206a6
1338a20cb26
142062a16c6
151283413c0
hexb2b531de

2998219230 has 96 divisors (see below), whose sum is σ = 8079233760. Its totient is φ = 770515200.

The previous prime is 2998219223. The next prime is 2998219243. The reversal of 2998219230 is 329128992.

It is a happy number.

It is a super-2 number, since 2×29982192302 = 17978637102283585800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2742564 + ... + 2743656.

It is an arithmetic number, because the mean of its divisors is an integer number (84158685).

Almost surely, 22998219230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2998219230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039616880).

2998219230 is an abundant number, since it is smaller than the sum of its proper divisors (5081014530).

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

2998219230 is a wasteful number, since it uses less digits than its factorization.

2998219230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2998219230 is about 54755.9972057856. The cubic root of 2998219230 is about 1441.9641455174.

The spelling of 2998219230 in words is "two billion, nine hundred ninety-eight million, two hundred nineteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1051 1093 1305 2102 2186 2610 3153 3279 5255 5465 6306 6558 9459 9837 10510 10930 15765 16395 18918 19674 30479 31530 31697 32790 47295 49185 60958 63394 91437 94590 95091 98370 152395 158485 182874 190182 274311 285273 304790 316970 457185 475455 548622 570546 914370 950910 1148743 1371555 1426365 2297486 2743110 2852730 3446229 5743715 6892458 10338687 11487430 17231145 20677374 33313547 34462290 51693435 66627094 99940641 103386870 166567735 199881282 299821923 333135470 499703205 599643846 999406410 1499109615 2998219230