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20221222199982 = 233116327710912207
BaseRepresentation
bin1001001100100000111101…
…10001000010001010101110
32122121010111202001122120220
410212100132301002022232
510122301030340344412
6111001300133352210
74154635510502016
oct446203661021256
978533452048526
1020221222199982
116496854847191
122327012498666
13b38b1227589b
144dc9d8a92c46
152510014e968c
hex12641ec422ae

20221222199982 has 128 divisors (see below), whose sum is σ = 42212548804608. Its totient is φ = 6450707548800.

The previous prime is 20221222199977. The next prime is 20221222200097. The reversal of 20221222199982 is 28999122212202.

It is a super-2 number, since 2×202212221999822 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9162310723 + ... + 9162312929.

It is an arithmetic number, because the mean of its divisors is an integer number (329785537536).

Almost surely, 220221222199982 is an apocalyptic number.

20221222199982 is an abundant number, since it is smaller than the sum of its proper divisors (21991326604626).

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

20221222199982 is a wasteful number, since it uses less digits than its factorization.

20221222199982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774.

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 20221222199982 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred ninety-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 31 62 93 163 186 277 326 489 554 831 978 1091 1662 2182 2207 3273 4414 5053 6546 6621 8587 10106 13242 15159 17174 25761 30318 33821 45151 51522 67642 68417 90302 101463 135453 136834 177833 202926 205251 270906 302207 355666 359741 410502 533499 604414 611339 719482 906621 1066998 1079223 1222678 1399681 1813242 1834017 2158446 2407837 2799362 3668034 4199043 4815674 5512823 7223511 8398086 9368417 11025646 11151971 14447022 16538469 18736834 18951509 22303942 28105251 33076938 33455913 37903018 49259741 56210502 56854527 66911826 74642947 98519482 99648257 113709054 147779223 149285894 199296514 223928841 295558446 298944771 392477431 447857682 597889542 666970849 784954862 1177432293 1333941698 1527051971 2000912547 2354864586 3054103942 3089095967 4001825094 4581155913 6178191934 9162311826 9267287901 12166800361 18534575802 20676096319 24333600722 36500401083 41352192638 62028288957 73000802166 108716248387 124056577914 217432496774 326148745161 652297490322 3370203699997 6740407399994 10110611099991 20221222199982