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2416920198 = 2372114715901
BaseRepresentation
bin1001000000001111…
…0100011010000110
320020102212021012220
42100003310122012
514422212421243
61035454553210
7113615324400
oct22003643206
96212767186
102416920198
111030319a10
12575508806
132c69612c4
1418cdc5b70
15e22b9783
hex900f4686

2416920198 has 96 divisors (see below), whose sum is σ = 6265133568. Its totient is φ = 614376000.

The previous prime is 2416920169. The next prime is 2416920199. The reversal of 2416920198 is 8910296142.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416920199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144048 + ... + 159948.

It is an arithmetic number, because the mean of its divisors is an integer number (65261808).

Almost surely, 22416920198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416920198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132566784).

2416920198 is an abundant number, since it is smaller than the sum of its proper divisors (3848213370).

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

2416920198 is a wasteful number, since it uses less digits than its factorization.

2416920198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15978 (or 15971 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2416920198 is about 49162.1826000433. The cubic root of 2416920198 is about 1342.0049066135.

The spelling of 2416920198 in words is "two billion, four hundred sixteen million, nine hundred twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 49 66 77 94 98 141 147 154 231 282 294 329 462 517 539 658 987 1034 1078 1551 1617 1974 2303 3102 3234 3619 4606 6909 7238 10857 13818 15901 21714 25333 31802 47703 50666 75999 95406 111307 151998 174911 222614 333921 349822 524733 667842 747347 779149 1049466 1224377 1494694 1558298 2242041 2337447 2448754 3673131 4484082 4674894 5231429 7346262 8220817 8570639 10462858 15694287 16441634 17141278 24662451 25711917 31388574 36620003 49324902 51423834 57545719 73240006 109860009 115091438 172637157 219720018 345274314 402820033 805640066 1208460099 2416920198