Search a number
-
+
19722240 = 212325107
BaseRepresentation
bin100101100111…
…1000000000000
31101002222211100
41023033000000
520022102430
61542414400
7326431146
oct113170000
941088740
1019722240
111015067a
126731400
134116b85
142895596
151ae8960
hex12cf000

19722240 has 156 divisors (see below), whose sum is σ = 69000984. Its totient is φ = 5210112.

The previous prime is 19722217. The next prime is 19722259. The reversal of 19722240 is 4222791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184267 + ... + 184373.

It is an arithmetic number, because the mean of its divisors is an integer number (442314).

Almost surely, 219722240 is an apocalyptic number.

19722240 is a gapful number since it is divisible by the number (10) 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 19722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500492).

19722240 is an abundant number, since it is smaller than the sum of its proper divisors (49278744).

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

19722240 is a wasteful number, since it uses less digits than its factorization.

19722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 19722240 is about 4440.9728663886. The cubic root of 19722240 is about 270.1793047671.

The spelling of 19722240 in words is "nineteen million, seven hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 107 120 128 144 160 180 192 214 240 256 288 320 321 360 384 428 480 512 535 576 640 642 720 768 856 960 963 1024 1070 1152 1280 1284 1440 1536 1605 1712 1920 1926 2048 2140 2304 2560 2568 2880 3072 3210 3424 3840 3852 4096 4280 4608 4815 5120 5136 5760 6144 6420 6848 7680 7704 8560 9216 9630 10240 10272 11520 12288 12840 13696 15360 15408 17120 18432 19260 20480 20544 23040 25680 27392 30720 30816 34240 36864 38520 41088 46080 51360 54784 61440 61632 68480 77040 82176 92160 102720 109568 123264 136960 154080 164352 184320 205440 219136 246528 273920 308160 328704 410880 438272 493056 547840 616320 657408 821760 986112 1095680 1232640 1314816 1643520 1972224 2191360 2465280 3287040 3944448 4930560 6574080 9861120 19722240