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2122028280 = 233451076121
BaseRepresentation
bin111111001111011…
…1001010011111000
312110212222012120000
41332132321103320
513321214401110
6550322233000
7103404641241
oct17636712370
95425865500
102122028280
11999914289
124b27b5760
1327a831548
14161b81cc8
15c64691c0
hex7e7b94f8

2122028280 has 160 divisors (see below), whose sum is σ = 7200206640. Its totient is φ = 560494080.

The previous prime is 2122028273. The next prime is 2122028297. The reversal of 2122028280 is 828202212.

It is a super-3 number, since 3×21220282803 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343620 + ... + 349740.

Almost surely, 22122028280 is an apocalyptic number.

2122028280 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 2122028280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600103320).

2122028280 is an abundant number, since it is smaller than the sum of its proper divisors (5078178360).

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

2122028280 is a wasteful number, since it uses less digits than its factorization.

2122028280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2122028280 is about 46065.4781805204. The cubic root of 2122028280 is about 1285.0412115152.

The spelling of 2122028280 in words is "two billion, one hundred twenty-two million, twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 107 108 120 135 162 180 214 216 270 321 324 360 405 428 535 540 642 648 810 856 963 1070 1080 1284 1605 1620 1926 2140 2568 2889 3210 3240 3852 4280 4815 5778 6121 6420 7704 8667 9630 11556 12242 12840 14445 17334 18363 19260 23112 24484 28890 30605 34668 36726 38520 43335 48968 55089 57780 61210 69336 73452 86670 91815 110178 115560 122420 146904 165267 173340 183630 220356 244840 275445 330534 346680 367260 440712 495801 550890 654947 661068 734520 826335 991602 1101780 1309894 1322136 1652670 1964841 1983204 2203560 2479005 2619788 3274735 3305340 3929682 3966408 4958010 5239576 5894523 6549470 6610680 7859364 9824205 9916020 11789046 13098940 15718728 17683569 19648410 19832040 23578092 26197880 29472615 35367138 39296820 47156184 53050707 58945230 70734276 78593640 88417845 106101414 117890460 141468552 176835690 212202828 235780920 265253535 353671380 424405656 530507070 707342760 1061014140 2122028280