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22460130 = 23257211463
BaseRepresentation
bin101010110101…
…1011011100010
31120021002111200
41111223123202
521222211010
62121222030
7361623300
oct125533342
946232450
1022460130
11117506a0
127631916
134865124
142da9270
151e89cc0
hex156b6e2

22460130 has 144 divisors (see below), whose sum is σ = 74265984. Its totient is φ = 4656960.

The previous prime is 22460107. The next prime is 22460131. The reversal of 22460130 is 3106422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22460131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48279 + ... + 48741.

It is an arithmetic number, because the mean of its divisors is an integer number (515736).

Almost surely, 222460130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22460130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37132992).

22460130 is an abundant number, since it is smaller than the sum of its proper divisors (51805854).

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

22460130 is a wasteful number, since it uses less digits than its factorization.

22460130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22460130 is about 4739.2119598094. The cubic root of 22460130 is about 282.1439584883.

Adding to 22460130 its reverse (3106422), we get a palindrome (25566552).

The spelling of 22460130 in words is "twenty-two million, four hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 463 490 495 539 630 693 735 770 882 926 990 1078 1155 1386 1389 1470 1617 2205 2310 2315 2695 2778 3234 3241 3465 4167 4410 4630 4851 5093 5390 6482 6930 6945 8085 8334 9702 9723 10186 13890 15279 16170 16205 19446 20835 22687 24255 25465 29169 30558 32410 35651 41670 45374 45837 48510 48615 50930 58338 68061 71302 76395 91674 97230 106953 113435 136122 145845 152790 178255 204183 213906 226870 229185 249557 291690 320859 340305 356510 408366 458370 499114 534765 641718 680610 748671 1020915 1069530 1247785 1497342 1604295 2041830 2246013 2495570 3208590 3743355 4492026 7486710 11230065 22460130