Search a number
-
+
22448340 = 2235531149
BaseRepresentation
bin101010110100…
…0100011010100
31120020111100000
41111220203110
521221321330
62121051300
7361544025
oct125504324
946214300
1022448340
1111742852
127626b30
13485c955
142da4c4c
151e86560
hex15688d4

22448340 has 144 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 5754240.

The previous prime is 22448339. The next prime is 22448341. The reversal of 22448340 is 4384422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22448339) and next prime (22448341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22448341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150586 + ... + 150734.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 222448340 is an apocalyptic number.

22448340 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 22448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

22448340 is an abundant number, since it is smaller than the sum of its proper divisors (50934060).

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

22448340 is a wasteful number, since it uses less digits than its factorization.

22448340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 22448340 is about 4737.9679188445. The cubic root of 22448340 is about 282.0945812215.

The spelling of 22448340 in words is "twenty-two million, four hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 149 155 162 180 186 243 270 279 298 310 324 372 405 447 465 486 540 558 596 620 745 810 837 894 930 972 1116 1215 1341 1395 1490 1620 1674 1788 1860 2235 2430 2511 2682 2790 2980 3348 4023 4185 4470 4619 4860 5022 5364 5580 6705 7533 8046 8370 8940 9238 10044 12069 12555 13410 13857 15066 16092 16740 18476 20115 23095 24138 25110 26820 27714 30132 36207 37665 40230 41571 46190 48276 50220 55428 60345 69285 72414 75330 80460 83142 92380 120690 124713 138570 144828 150660 166284 181035 207855 241380 249426 277140 362070 374139 415710 498852 623565 724140 748278 831420 1122417 1247130 1496556 1870695 2244834 2494260 3741390 4489668 5612085 7482780 11224170 22448340