Search a number
-
+
222202221221022 = 23737832816130741
BaseRepresentation
bin110010100001011101111100…
…011101101101010010011110
31002010202022202211211211002220
4302201131330131231102132
5213111030122113033042
62104330142523130210
764542403120013520
oct6241357435552236
91063668684754086
10222202221221022
1164889484096619
1220b08342373966
1396ca76c3778c3
143cc2905815a10
151aa4eca3868ec
hexca177c76d49e

222202221221022 has 128 divisors (see below), whose sum is σ = 529780860177408. Its totient is φ = 60809093452800.

The previous prime is 222202221221009. The next prime is 222202221221023. The reversal of 222202221221022 is 220122122202222.

It is a junction number, because it is equal to n+sod(n) for n = 222202221220983 and 222202221221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202221221023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33178572 + ... + 39309312.

It is an arithmetic number, because the mean of its divisors is an integer number (4138912970136).

Almost surely, 2222202221221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222202221221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264890430088704).

222202221221022 is an abundant number, since it is smaller than the sum of its proper divisors (307578638956386).

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

222202221221022 is a wasteful number, since it uses less digits than its factorization.

222202221221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131154.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 222202221221022 its reverse (220122122202222), we get a palindrome (442324343423244).

The spelling of 222202221221022 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 222 249 259 281 498 518 562 581 777 843 1162 1554 1686 1743 1967 3071 3486 3934 5901 6142 9213 10397 11802 18426 20794 21497 23323 31191 42994 46646 62382 64491 69969 72779 128982 139938 145558 163261 218337 326522 436674 489783 862951 979566 1725902 2588853 5177706 6040657 6130741 12081314 12261482 18121971 18392223 36243942 36784446 42915187 85830374 128745561 226837417 257491122 453674834 508851503 680512251 1017703006 1361024502 1526554509 1587861919 1722738221 3053109018 3175723838 3445476442 3561960521 4763585757 5168214663 7123921042 9527171514 10336429326 10685881563 12059167547 18827505611 21371763126 24118335094 36177502641 37655011222 56482516833 63741314177 72355005282 112965033666 127482628354 131792539277 142987272343 191223942531 263585078554 285974544686 382447885062 395377617831 428961817029 446189199239 790755235662 857923634058 892378398478 1000910906401 1338567597717 2001821812802 2677135195434 3002732719203 5290529076691 6005465438406 10581058153382 15871587230073 31743174460146 37033703536837 74067407073674 111101110610511 222202221221022