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2298138750 = 23354149457
BaseRepresentation
bin1000100011111010…
…1101000001111110
312221011100112201000
42020332231001332
514201310420000
61020013031130
7110643566655
oct21076550176
95834315630
102298138750
11a7a26a726
125417854a6
132a8172c1b
1417b30619c
15d6b55000
hex88fad07e

2298138750 has 160 divisors (see below), whose sum is σ = 6438564000. Its totient is φ = 607392000.

The previous prime is 2298138737. The next prime is 2298138751. The reversal of 2298138750 is 578318922.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2298138696 and 2298138705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298138751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5028522 + ... + 5028978.

It is an arithmetic number, because the mean of its divisors is an integer number (40241025).

Almost surely, 22298138750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298138750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219282000).

2298138750 is an abundant number, since it is smaller than the sum of its proper divisors (4140425250).

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

2298138750 is a wasteful number, since it uses less digits than its factorization.

2298138750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2298138750 is about 47938.9064330842. The cubic root of 2298138750 is about 1319.6499588362.

The spelling of 2298138750 in words is "two billion, two hundred ninety-eight million, one hundred thirty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 149 150 225 250 270 298 375 447 450 457 625 675 745 750 894 914 1125 1250 1341 1350 1371 1490 1875 2235 2250 2285 2682 2742 3375 3725 3750 4023 4113 4470 4570 5625 6705 6750 6855 7450 8046 8226 11175 11250 11425 12339 13410 13710 16875 18625 20115 20565 22350 22850 24678 33525 33750 34275 37250 40230 41130 55875 57125 61695 67050 68093 68550 93125 100575 102825 111750 114250 123390 136186 167625 171375 186250 201150 204279 205650 279375 285625 308475 335250 340465 342750 408558 502875 514125 558750 571250 612837 616950 680930 838125 856875 1005750 1021395 1028250 1225674 1542375 1676250 1702325 1713750 1838511 2042790 2514375 2570625 3064185 3084750 3404650 3677022 5028750 5106975 5141250 6128370 7711875 8511625 9192555 10213950 15320925 15423750 17023250 18385110 25534875 30641850 42558125 45962775 51069750 76604625 85116250 91925550 127674375 153209250 229813875 255348750 383023125 459627750 766046250 1149069375 2298138750