Search a number
-
+
22162172448 = 253134728039
BaseRepresentation
bin10100101000111101…
…111110101000100000
32010012112001000020210
4110220331332220200
5330342004004243
614103044134120
71413125233443
oct245075765040
963175030223
1022162172448
119442a721a9
124366097340
132122623510
14110351765a
1589a9b4933
hex528f7ea20

22162172448 has 144 divisors (see below), whose sum is σ = 64020075840. Its totient is φ = 6673211904.

The previous prime is 22162172443. The next prime is 22162172453. The reversal of 22162172448 is 84427126122.

It is an interprime number because it is at equal distance from previous prime (22162172443) and next prime (22162172453).

It is a super-2 number, since 2×221621724482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (22162172443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2752813 + ... + 2760851.

It is an arithmetic number, because the mean of its divisors is an integer number (444583860).

Almost surely, 222162172448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22162172448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32010037920).

22162172448 is an abundant number, since it is smaller than the sum of its proper divisors (41857903392).

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

22162172448 is a wasteful number, since it uses less digits than its factorization.

22162172448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8104 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The spelling of 22162172448 in words is "twenty-two billion, one hundred sixty-two million, one hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2209 2256 2444 3666 4418 4512 4888 6627 7332 8039 8836 9776 13254 14664 16078 17672 19552 24117 26508 28717 29328 32156 35344 48234 53016 57434 58656 64312 70688 86151 96468 104507 106032 114868 128624 172302 192936 209014 212064 229736 257248 313521 344604 377833 385872 418028 459472 627042 689208 755666 771744 836056 918944 1133499 1254084 1378416 1511332 1672112 2266998 2508168 2756832 3022664 3344224 4533996 4911829 5016336 6045328 9067992 9823658 10032672 12090656 14735487 17758151 18135984 19647316 29470974 35516302 36271968 39294632 53274453 58941948 71032604 78589264 106548906 117883896 142065208 157178528 213097812 230855963 235767792 284130416 426195624 461711926 471535584 568260832 692567889 852391248 923423852 1385135778 1704782496 1846847704 2770271556 3693695408 5540543112 7387390816 11081086224 22162172448