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222021020202112 = 27431491521717791
BaseRepresentation
bin110010011110110101001100…
…000010101011010010000000
31002010010000001122011022122101
4302132311030002223102000
5213100043022132431422
62104111014300320144
764523326565532535
oct6236651402532200
91063100048138571
10222021020202112
116481964991212a
1220a991b2543054
1396b66529731a1
143cb7c36302d8c
151aa04224e0c27
hexc9ed4c0ab480

222021020202112 has 128 divisors (see below), whose sum is σ = 455686818048000. Its totient is φ = 107688028815360.

The previous prime is 222021020202103. The next prime is 222021020202131. The reversal of 222021020202112 is 211202020120222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 222021020202112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12479391937 + ... + 12479409727.

It is an arithmetic number, because the mean of its divisors is an integer number (3560053266000).

Almost surely, 2222021020202112 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 222021020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227843409024000).

222021020202112 is an abundant number, since it is smaller than the sum of its proper divisors (233665797845888).

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

222021020202112 is a wasteful number, since it uses less digits than its factorization.

222021020202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33214 (or 33202 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 222021020202112 its reverse (211202020120222), we get a palindrome (433223040322334).

The spelling of 222021020202112 in words is "two hundred twenty-two trillion, twenty-one billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 149 172 298 344 596 688 1192 1376 2384 2752 4768 5504 6407 9536 12814 15217 17791 19072 25628 30434 35582 51256 60868 71164 102512 121736 142328 205024 243472 284656 410048 486944 569312 654331 765013 820096 973888 1138624 1308662 1530026 1947776 2267333 2277248 2617324 2650859 3060052 4534666 5234648 5301718 6120104 9069332 10469296 10603436 12240208 18138664 20938592 21206872 24480416 36277328 41877184 42413744 48960832 72554656 83754368 84827488 97495319 97921664 113986937 145109312 169654976 194990638 227973874 270725647 290218624 339309952 389981276 455947748 541451294 779962552 911895496 1082902588 1559925104 1823790992 2165805176 3119850208 3647581984 4331610352 6239700416 7295163968 8663220704 11641202821 12479400832 14590327936 17326441408 23282405642 34652882816 40338121403 46564811284 80676242806 93129622568 161352485612 186259245136 322704971224 372518490272 645409942448 745036980544 1290819884896 1490073961088 1734539220329 2581639769792 3469078440658 5163279539584 6938156881316 13876313762632 27752627525264 55505255050528 111010510101056 222021020202112