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2022102012 = 2237279101431
BaseRepresentation
bin111100010000110…
…1101001111111100
312012220221102111010
41320201231033330
513120124231022
6532352355220
7101052404100
oct17041551774
95186842433
102022102012
11948473197
12485245b10
13262c15488
141527ad900
15bc7cb50c
hex7886d3fc

2022102012 has 144 divisors (see below), whose sum is σ = 5626091520. Its totient is φ = 563472000.

The previous prime is 2022101987. The next prime is 2022102031. The reversal of 2022102012 is 2102012202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4691437 + ... + 4691867.

It is an arithmetic number, because the mean of its divisors is an integer number (39070080).

Almost surely, 22022102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813045760).

2022102012 is an abundant number, since it is smaller than the sum of its proper divisors (3603989508).

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

2022102012 is a wasteful number, since it uses less digits than its factorization.

2022102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2022102012 is about 44967.7886047335. The cubic root of 2022102012 is about 1264.5451893928.

Adding to 2022102012 its reverse (2102012202), we get a palindrome (4124114214).

It can be divided in two parts, 202 and 2102012, that multiplied together give a palindrome (424606424).

The spelling of 2022102012 in words is "two billion, twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 101 147 158 196 202 237 294 303 316 404 431 474 553 588 606 707 862 948 1106 1212 1293 1414 1659 1724 2121 2212 2586 2828 3017 3318 3871 4242 4949 5172 6034 6636 7742 7979 8484 9051 9898 11613 12068 14847 15484 15958 18102 19796 21119 23226 23937 29694 31916 34049 36204 42238 43531 46452 47874 55853 59388 63357 68098 84476 87062 95748 102147 111706 126714 130593 136196 167559 174124 204294 223412 238343 253428 261186 304717 335118 390971 408588 476686 522372 609434 670236 715029 781942 914151 953372 1172913 1218868 1430058 1563884 1668401 1828302 2133019 2345826 2860116 3336802 3438949 3656604 4266038 4691652 5005203 6399057 6673604 6877898 8532076 10010406 10316847 12798114 13755796 20020812 20633694 24072643 25596228 41267388 48145286 72217929 96290572 144435858 168508501 288871716 337017002 505525503 674034004 1011051006 2022102012