Search a number
-
+
22234121440 = 255714214649
BaseRepresentation
bin10100101101010000…
…011100010011100000
32010101112102101201021
4110231100130103200
5331013413341230
614114134215224
71414660625326
oct245520342340
963345371637
1022234121440
11947a644583
1243861b4514
1321344c519b
14110ccc5d16
158a1e77c7a
hex52d41c4e0

22234121440 has 96 divisors (see below), whose sum is σ = 53405956800. Its totient is φ = 8745676800.

The previous prime is 22234121417. The next prime is 22234121473. The reversal of 22234121440 is 4412143222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4780236 + ... + 4784884.

It is an arithmetic number, because the mean of its divisors is an integer number (556312050).

Almost surely, 222234121440 is an apocalyptic number.

22234121440 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 22234121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702978400).

22234121440 is an abundant number, since it is smaller than the sum of its proper divisors (31171835360).

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

22234121440 is a wasteful number, since it uses less digits than its factorization.

22234121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22234121440 its reverse (4412143222), we get a palindrome (26646264662).

The spelling of 22234121440 in words is "twenty-two billion, two hundred thirty-four million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 421 568 710 842 1136 1420 1684 2105 2272 2840 3368 4210 4649 5680 6736 8420 9298 11360 13472 16840 18596 23245 29891 33680 37192 46490 59782 67360 74384 92980 119564 148768 149455 185960 239128 298910 330079 371920 478256 597820 660158 743840 956512 1195640 1320316 1650395 1957229 2391280 2640632 3300790 3914458 4782560 5281264 6601580 7828916 9786145 10562528 13203160 15657832 19572290 26406320 31315664 39144580 52812640 62631328 78289160 138963259 156578320 277926518 313156640 555853036 694816295 1111706072 1389632590 2223412144 2779265180 4446824288 5558530360 11117060720 22234121440