Search a number
-
+
22075380240 = 24353110328807
BaseRepresentation
bin10100100011110010…
…111001001000010000
32002222110201111201120
4110203302321020100
5330202244131430
614050304002240
71411022431104
oct244362711020
962873644646
1022075380240
1193a8a81a01
124341000380
13210a655694
1410d5ba3904
1589306d610
hex523cb9210

22075380240 has 160 divisors (see below), whose sum is σ = 71329529856. Its totient is φ = 5641367040.

The previous prime is 22075380199. The next prime is 22075380251. The reversal of 22075380240 is 4208357022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751917 + ... + 780723.

Almost surely, 222075380240 is an apocalyptic number.

22075380240 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 22075380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35664764928).

22075380240 is an abundant number, since it is smaller than the sum of its proper divisors (49254149616).

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

22075380240 is a wasteful number, since it uses less digits than its factorization.

22075380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28957 (or 28951 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 22075380240 in words is "twenty-two billion, seventy-five million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 103 120 124 155 186 206 240 248 309 310 372 412 465 496 515 618 620 744 824 930 1030 1236 1240 1488 1545 1648 1860 2060 2472 2480 3090 3193 3720 4120 4944 6180 6386 7440 8240 9579 12360 12772 15965 19158 24720 25544 28807 31930 38316 47895 51088 57614 63860 76632 86421 95790 115228 127720 144035 153264 172842 191580 230456 255440 288070 345684 383160 432105 460912 576140 691368 766320 864210 893017 1152280 1382736 1728420 1786034 2304560 2679051 2967121 3456840 3572068 4465085 5358102 5934242 6913680 7144136 8901363 8930170 10716204 11868484 13395255 14288272 14835605 17802726 17860340 21432408 23736968 26790510 29671210 35605452 35720680 42864816 44506815 47473936 53581020 59342420 71210904 71441360 89013630 91980751 107162040 118684840 142421808 178027260 183961502 214324080 237369680 275942253 356054520 367923004 459903755 551884506 712109040 735846008 919807510 1103769012 1379711265 1471692016 1839615020 2207538024 2759422530 3679230040 4415076048 5518845060 7358460080 11037690120 22075380240