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2145522288 = 243713895519
BaseRepresentation
bin111111111100010…
…0001001001110000
312112112011211021110
41333320201021300
513343223203123
6552521553320
7104111432010
oct17770411160
95475154243
102145522288
11a01100718
124ba645840
13282669120
14164d39c40
15c855a493
hex7fe21270

2145522288 has 160 divisors (see below), whose sum is σ = 6899558400. Its totient is φ = 559392768.

The previous prime is 2145522277. The next prime is 2145522329. The reversal of 2145522288 is 8822255412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385993 + ... + 391511.

It is an arithmetic number, because the mean of its divisors is an integer number (43122240).

Almost surely, 22145522288 is an apocalyptic number.

2145522288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145522288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449779200).

2145522288 is an abundant number, since it is smaller than the sum of its proper divisors (4754036112).

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

2145522288 is a wasteful number, since it uses less digits than its factorization.

2145522288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5633 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 2145522288 is about 46319.7829010456. The cubic root of 2145522288 is about 1289.7662553471.

The spelling of 2145522288 in words is "two billion, one hundred forty-five million, five hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 89 91 104 112 156 168 178 182 208 267 273 312 336 356 364 534 546 623 624 712 728 1068 1092 1157 1246 1424 1456 1869 2136 2184 2314 2492 3471 3738 4272 4368 4628 4984 5519 6942 7476 8099 9256 9968 11038 13884 14952 16198 16557 18512 22076 24297 27768 29904 32396 33114 38633 44152 48594 55536 64792 66228 71747 77266 88304 97188 115899 129584 132456 143494 154532 194376 215241 231798 264912 286988 309064 388752 430482 463596 491191 502229 573976 618128 860964 927192 982382 1004458 1147952 1473573 1506687 1721928 1854384 1964764 2008916 2947146 3013374 3438337 3443856 3929528 4017832 5894292 6026748 6385483 6876674 7859056 8035664 10315011 11788584 12053496 12770966 13753348 19156449 20630022 23577168 24106992 25541932 27506696 38312898 41260044 44698381 51083864 55013392 76625796 82520088 89396762 102167728 134095143 153251592 165040176 178793524 268190286 306503184 357587048 536380572 715174096 1072761144 2145522288