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2202122020014 = 232731694981131
BaseRepresentation
bin100000000010111000101…
…100110110010010101110
321210112001200002022200100
4200002320230312102232
5242034421214120024
64403350233211530
7315045431220240
oct40027054662256
97715050068610
102202122020014
11779a07520034
122b6952260ba6
1312c8753b1097
1478824710090
153c4378b87c9
hex200b8b364ae

2202122020014 has 96 divisors (see below), whose sum is σ = 5629652121600. Its totient is φ = 608786539200.

The previous prime is 2202122019907. The next prime is 2202122020027. The reversal of 2202122020014 is 4100202212022.

2202122020014 is a `hidden beast` number, since 220 + 21 + 220 + 200 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 27102229 + ... + 27183359.

It is an arithmetic number, because the mean of its divisors is an integer number (58642209600).

Almost surely, 22202122020014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202122020014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814826060800).

2202122020014 is an abundant number, since it is smaller than the sum of its proper divisors (3427530101586).

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

2202122020014 is a wasteful number, since it uses less digits than its factorization.

2202122020014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88126 (or 88123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202122020014 its reverse (4100202212022), we get a palindrome (6302324232036).

The spelling of 2202122020014 in words is "two trillion, two hundred two billion, one hundred twenty-two million, twenty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 6949 13898 20847 41694 48643 62541 81131 97286 125082 145929 162262 215419 243393 291858 430838 437787 486786 567917 646257 730179 875574 1135834 1292514 1460358 1507933 1703751 1938771 2515061 3015866 3407502 3877542 4523799 5030122 5111253 7545183 9047598 10222506 13571397 15090366 17605427 22635549 27142794 35210854 45271098 52816281 105632562 158448843 316897686 563779319 1127558638 1691337957 3382675914 3946455233 5074013871 7892910466 10148027742 11839365699 17477158889 23678731398 34954317778 35518097097 52431476667 71036194194 104862953334 122340112223 157294430001 244680224446 314588860002 367020336669 734040673338 1101061010007 2202122020014