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22433421340 = 225111726322807
BaseRepresentation
bin10100111001001000…
…101101100000011100
32010220102102212210001
4110321020231200130
5331420423440330
614150014024044
71422630635521
oct247110554034
963812385701
1022433421340
119572099540
124420aa8024
132166895915
14112b565148
158b46e49ca
hex53922d81c

22433421340 has 96 divisors (see below), whose sum is σ = 54625342464. Its totient is φ = 7648220160.

The previous prime is 22433421331. The next prime is 22433421349. The reversal of 22433421340 is 4312433422.

It is an interprime number because it is at equal distance from previous prime (22433421331) and next prime (22433421349).

It is a junction number, because it is equal to n+sod(n) for n = 22433421299 and 22433421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22433421349) 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, 972217 + ... + 995023.

It is an arithmetic number, because the mean of its divisors is an integer number (569013984).

Almost surely, 222433421340 is an apocalyptic number.

22433421340 is a gapful number since it is divisible by the number (20) 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 22433421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27312671232).

22433421340 is an abundant number, since it is smaller than the sum of its proper divisors (32191921124).

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

22433421340 is a wasteful number, since it uses less digits than its factorization.

22433421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23107 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 22433421340 its reverse (4312433422), we get a palindrome (26745854762).

The spelling of 22433421340 in words is "twenty-two billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 263 340 374 526 748 935 1052 1315 1870 2630 2893 3740 4471 5260 5786 8942 11572 14465 17884 22355 22807 28930 44710 45614 49181 57860 89420 91228 98362 114035 196724 228070 245905 250877 387719 456140 491810 501754 775438 983620 1003508 1254385 1550876 1938595 2508770 3877190 4264909 5017540 5998241 7754380 8529818 11996482 17059636 21324545 23992964 29991205 42649090 59982410 65980651 85298180 101970097 119964820 131961302 203940194 263922604 329903255 407880388 509850485 659806510 1019700970 1121671067 1319613020 2039401940 2243342134 4486684268 5608355335 11216710670 22433421340