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22021230160 = 2451742138461
BaseRepresentation
bin10100100000100100…
…010100111001010000
32002211200211101210001
4110200210110321100
5330044413331120
614041051215344
71406464240126
oct244044247120
962750741701
1022021230160
119380457176
124326a47554
1320cc376307
1410cc909916
1588d423e0a
hex520914e50

22021230160 has 80 divisors (see below), whose sum is σ = 54341267472. Its totient is φ = 8270438400.

The previous prime is 22021230157. The next prime is 22021230163. The reversal of 22021230160 is 6103212022.

It is an interprime number because it is at equal distance from previous prime (22021230157) and next prime (22021230163).

It can be written as a sum of positive squares in 8 ways, for example, as 4336485904 + 17684744256 = 65852^2 + 132984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021230163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553330 + ... + 591790.

Almost surely, 222021230160 is an apocalyptic number.

22021230160 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 22021230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170633736).

22021230160 is an abundant number, since it is smaller than the sum of its proper divisors (32320037312).

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

22021230160 is a wasteful number, since it uses less digits than its factorization.

22021230160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38912 (or 38906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22021230160 its reverse (6103212022), we get a palindrome (28124442182).

The spelling of 22021230160 in words is "twenty-two billion, twenty-one million, two hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 421 680 842 1360 1684 2105 3368 4210 6736 7157 8420 14314 16840 28628 33680 35785 38461 57256 71570 76922 114512 143140 153844 192305 286280 307688 384610 572560 615376 653837 769220 1307674 1538440 2615348 3076880 3269185 5230696 6538370 10461392 13076740 16192081 26153480 32384162 52306960 64768324 80960405 129536648 161920810 259073296 275265377 323841620 550530754 647683240 1101061508 1295366480 1376326885 2202123016 2752653770 4404246032 5505307540 11010615080 22021230160