Search a number
-
+
22105333104 = 2431797317881
BaseRepresentation
bin10100100101100101…
…001001110101110000
32010001120002021022220
4110211211021311300
5330232431124404
614053254001040
71411535142201
oct244545116560
963046067286
1022105333104
11941397aa38
12434b046180
13211391207a
1410d9b5d5a8
158959d84d9
hex525949d70

22105333104 has 160 divisors (see below), whose sum is σ = 61350198336. Its totient is φ = 6834094080.

The previous prime is 22105333093. The next prime is 22105333109. The reversal of 22105333104 is 40133350122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105333109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25090744 + ... + 25091624.

Almost surely, 222105333104 is an apocalyptic number.

22105333104 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 22105333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675099168).

22105333104 is an abundant number, since it is smaller than the sum of its proper divisors (39244865232).

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

22105333104 is a wasteful number, since it uses less digits than its factorization.

22105333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 22105333104 its reverse (40133350122), we get a palindrome (62238683226).

The spelling of 22105333104 in words is "twenty-two billion, one hundred five million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 317 388 408 582 634 776 816 881 951 1164 1268 1552 1649 1762 1902 2328 2536 2643 3298 3524 3804 4656 4947 5072 5286 5389 6596 7048 7608 9894 10572 10778 13192 14096 14977 15216 16167 19788 21144 21556 26384 29954 30749 32334 39576 42288 43112 44931 59908 61498 64668 79152 85457 86224 89862 92247 119816 122996 129336 170914 179724 184494 239632 245992 256371 258672 279277 341828 359448 368988 491984 512742 522733 558554 683656 718896 737976 837831 1025484 1045466 1117108 1367312 1452769 1475952 1568199 1675662 2050968 2090932 2234216 2905538 3136398 3351324 4101936 4181864 4358307 4468432 4747709 5811076 6272796 6702648 8363728 8716614 9495418 11622152 12545592 13405296 14243127 17433228 18990836 23244304 25091184 27089869 28486254 34866456 37981672 54179738 56972508 69732912 75963344 81269607 108359476 113945016 162539214 216718952 227890032 325078428 433437904 460527773 650156856 921055546 1300313712 1381583319 1842111092 2763166638 3684222184 5526333276 7368444368 11052666552 22105333104