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2226601104 = 2437134112433
BaseRepresentation
bin1000010010110111…
…0011110010010000
312202011202001111120
42010231303302100
514030002213404
61004535442240
7106114540260
oct20455636220
95664661446
102226601104
11a42949402
12521826380
132963b6560
14171a037a0
15d07239d9
hex84b73c90

2226601104 has 160 divisors (see below), whose sum is σ = 7252702464. Its totient is φ = 572866560.

The previous prime is 2226601057. The next prime is 2226601141. The reversal of 2226601104 is 4011066222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 172872 + ... + 185304.

Almost surely, 22226601104 is an apocalyptic number.

2226601104 is a gapful number since it is divisible by the number (24) 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 2226601104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626351232).

2226601104 is an abundant number, since it is smaller than the sum of its proper divisors (5026101360).

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

2226601104 is a wasteful number, since it uses less digits than its factorization.

2226601104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2226601104 is about 47186.8742766460. The cubic root of 2226601104 is about 1305.8124551386.

Adding to 2226601104 its reverse (4011066222), we get a palindrome (6237667326).

The spelling of 2226601104 in words is "two billion, two hundred twenty-six million, six hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1456 1599 1722 1968 2132 2184 2296 3198 3444 3731 4264 4368 4592 6396 6888 7462 8528 11193 12433 12792 13776 14924 22386 24866 25584 29848 37299 44772 49732 59696 74598 87031 89544 99464 149196 161629 174062 179088 198928 261093 298392 323258 348124 484887 509753 522186 596784 646516 696248 969774 1019506 1044372 1131403 1293032 1392496 1529259 1939548 2039012 2088744 2262806 2586064 3058518 3394209 3568271 3879096 4078024 4177488 4525612 6117036 6626789 6788418 7136542 7758192 8156048 9051224 10704813 12234072 13253578 13576836 14273084 18102448 19880367 21409626 24468144 26507156 27153672 28546168 39760734 42819252 46387523 53014312 54307344 57092336 79521468 85638504 92775046 106028624 139162569 159042936 171277008 185550092 278325138 318085872 371100184 556650276 742200368 1113300552 2226601104