[go: up one dir, main page]

Search a number
-
+
2169313888 = 257259131179
BaseRepresentation
bin1000000101001101…
…0001101001100000
312121011221120012211
42001103101221200
513420321021023
6555131531504
7104520602200
oct20123215140
95534846184
102169313888
11a135806a5
125065b9b94
132875792b1
14168170400
15ca6a9a0d
hex814d1a60

2169313888 has 144 divisors (see below), whose sum is σ = 5119329600. Its totient is φ = 901904640.

The previous prime is 2169313843. The next prime is 2169313889. The reversal of 2169313888 is 8883139612.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2169313889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12118983 + ... + 12119161.

It is an arithmetic number, because the mean of its divisors is an integer number (35550900).

Almost surely, 22169313888 is an apocalyptic number.

2169313888 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 2169313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559664800).

2169313888 is an abundant number, since it is smaller than the sum of its proper divisors (2950015712).

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

2169313888 is a wasteful number, since it uses less digits than its factorization.

2169313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 2169313888 is about 46575.8938507894. The cubic root of 2169313888 is about 1294.5161279667.

The spelling of 2169313888 in words is "two billion, one hundred sixty-nine million, three hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 131 179 196 224 236 262 358 392 413 472 524 716 784 826 917 944 1048 1253 1432 1568 1652 1834 1888 2096 2506 2864 2891 3304 3668 4192 5012 5728 5782 6419 6608 7336 7729 8771 10024 10561 11564 12838 13216 14672 15458 17542 20048 21122 23128 23449 25676 29344 30916 35084 40096 42244 46256 46898 51352 54103 61832 70168 73927 84488 92512 93796 102704 108206 123664 140336 147854 164143 168976 187592 205408 216412 247328 280672 295708 328286 337952 375184 378721 432824 517489 591416 656572 750368 757442 865648 1034978 1149001 1182832 1313144 1383491 1514884 1731296 2069956 2298002 2365664 2626288 2766982 3029768 4139912 4596004 5252576 5533964 6059536 8279824 9192008 9684437 11067928 12119072 16559648 18384016 19368874 22135856 36768032 38737748 44271712 67791059 77475496 135582118 154950992 271164236 309901984 542328472 1084656944 2169313888