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2230311150 = 2325223229941
BaseRepresentation
bin1000010011101111…
…1101100011101110
312202102201112201200
42010323331203232
514031424424100
61005151150330
7106161221604
oct20473754356
95672645650
102230311150
11a44a52861
12522b153a6
132970b5152
141722cb874
15d0c07e00
hex84efd8ee

2230311150 has 144 divisors (see below), whose sum is σ = 6286606560. Its totient is φ = 565804800.

The previous prime is 2230311133. The next prime is 2230311217. The reversal of 2230311150 is 511130322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2369680 + ... + 2370620.

It is an arithmetic number, because the mean of its divisors is an integer number (43656990).

Almost surely, 22230311150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230311150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143303280).

2230311150 is an abundant number, since it is smaller than the sum of its proper divisors (4056295410).

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

2230311150 is a wasteful number, since it uses less digits than its factorization.

2230311150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2230311150 is about 47226.1701813730. The cubic root of 2230311150 is about 1306.5373172001.

Adding to 2230311150 its reverse (511130322), we get a palindrome (2741441472).

The spelling of 2230311150 in words is "two billion, two hundred thirty million, three hundred eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 229 230 345 414 450 458 575 687 690 941 1035 1145 1150 1374 1725 1882 2061 2070 2290 2823 3435 3450 4122 4705 5175 5267 5646 5725 6870 8469 9410 10305 10350 10534 11450 14115 15801 16938 17175 20610 21643 23525 26335 28230 31602 34350 42345 43286 47050 47403 51525 52670 64929 70575 79005 84690 94806 103050 108215 129858 131675 141150 158010 194787 211725 215489 216430 237015 263350 324645 389574 395025 423450 430978 474030 541075 646467 649290 790050 973935 1077445 1082150 1185075 1292934 1623225 1939401 1947870 2154890 2370150 3232335 3246450 3878802 4869675 4956247 5387225 6464670 9697005 9739350 9912494 10774450 14868741 16161675 19394010 24781235 29737482 32323350 44606223 48485025 49562470 74343705 89212446 96970050 123906175 148687410 223031115 247812350 371718525 446062230 743437050 1115155575 2230311150