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222145241443062 = 237232511960946723
BaseRepresentation
bin110010100000101000111000…
…001101000110101011110110
31002010112212200211100012010020
4302200220320031012223312
5213104111423302134222
62104244040504510010
764535315112624060
oct6240507015065366
91063485624305106
10222145241443062
11648672a4531033
1220ab929ba7b306
1396c528b562462
143cbdc5c110730
151aa3792d6e65c
hexca0a38346af6

222145241443062 has 128 divisors (see below), whose sum is σ = 531986515845120. Its totient is φ = 60464248416000.

The previous prime is 222145241443033. The next prime is 222145241443091. The reversal of 222145241443062 is 260344142541222.

It is an interprime number because it is at equal distance from previous prime (222145241443033) and next prime (222145241443091).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4754492433 + ... + 4754539155.

It is an arithmetic number, because the mean of its divisors is an integer number (4156144655040).

Almost surely, 2222145241443062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222145241443062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265993257922560).

222145241443062 is an abundant number, since it is smaller than the sum of its proper divisors (309841274402058).

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

222145241443062 is a wasteful number, since it uses less digits than its factorization.

222145241443062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66618.

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 222145241443062 its reverse (260344142541222), we get a palindrome (482489383984284).

The spelling of 222145241443062 in words is "two hundred twenty-two trillion, one hundred forty-five billion, two hundred forty-one million, four hundred forty-three thousand, sixty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 251 322 483 502 753 966 1506 1757 3514 5271 5773 10542 11546 17319 19609 34638 39218 40411 46723 58827 80822 93446 117654 121233 137263 140169 242466 274526 280338 327061 411789 451007 654122 823578 902014 981183 1074629 1353021 1962366 2149258 2706042 3157049 3223887 4921859 6314098 6447774 7522403 9471147 9843718 11727473 14765577 15044806 18942294 22567209 23454946 29531154 34453013 35182419 45134418 68906026 70364838 82092311 103359039 113202757 164184622 206718078 226405514 246276933 269731879 339608271 492553866 539463758 679216542 792419299 809195637 916191307 1584838598 1618391274 1832382614 1888123153 2377257897 2748573921 3776246306 4754515794 5497147842 5664369459 6413339149 11328738918 12826678298 19240017447 21072400061 38480034894 42144800122 63217200183 126434400366 147506800427 229964018057 295013600854 442520401281 459928036114 689892054171 885040802562 1379784108342 1609748126399 3219496252798 4829244379197 5289172415311 9658488758394 10578344830622 15867517245933 31735034491866 37024206907177 74048413814354 111072620721531 222145241443062