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2122022202132 = 2237471851729027
BaseRepresentation
bin11110111000010010011…
…000010010101100010100
321111212022101010222021210
4132320102120102230110
5234231400140432012
64302502112141420
7306211455052350
oct36702230225424
97455271128253
102122022202132
11748a43237338
122a3318b37870
1312514b69a641
14749c65d0460
153a2ea77e23c
hex1ee12612b14

2122022202132 has 96 divisors (see below), whose sum is σ = 5779635499008. Its totient is φ = 593339739264.

The previous prime is 2122022202127. The next prime is 2122022202143. The reversal of 2122022202132 is 2312022202212.

It is a super-2 number, since 2×21220222021322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2122022202099 and 2122022202108.

It is a congruent number.

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, 73090603 + ... + 73119629.

It is an arithmetic number, because the mean of its divisors is an integer number (60204536448).

Almost surely, 22122022202132 is an apocalyptic number.

It is an amenable number.

2122022202132 is an abundant number, since it is smaller than the sum of its proper divisors (3657613296876).

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

2122022202132 is a wasteful number, since it uses less digits than its factorization.

2122022202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47605 (or 47603 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2122022202132 its reverse (2312022202212), we get a palindrome (4434044404344).

The spelling of 2122022202132 in words is "two trillion, one hundred twenty-two billion, twenty-two million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 18517 29027 37034 55551 58054 74068 87081 111102 116108 129619 174162 203189 222204 259238 348324 388857 406378 518476 609567 777714 812756 870299 1219134 1364269 1555428 1740598 2438268 2610897 2728538 3481196 4092807 5221794 5457076 6092093 8185614 9549883 10443588 12184186 16371228 18276279 19099766 24368372 28649649 36552558 38199532 57299298 73105116 114598596 537492959 1074985918 1612478877 2149971836 3224957754 3762450713 6449915508 7524901426 11287352139 15049802852 22574704278 25262169073 45149408556 50524338146 75786507219 101048676292 151573014438 176835183511 303146028876 353670367022 530505550533 707340734044 1061011101066 2122022202132