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2220452153112 = 2331717338218233
BaseRepresentation
bin100000010011111101010…
…000110000011100011000
321212021101010110120011210
4200103331100300130120
5242334441222344422
64420021151423120
7316264605613434
oct40237520603430
97767333416153
102220452153112
11786763398366
122ba408b24aa0
13131506b2cb9b
1479682d159c4
153cb5bc3410c
hex204fd430718

2220452153112 has 128 divisors (see below), whose sum is σ = 5913907796160. Its totient is φ = 692320419840.

The previous prime is 2220452153081. The next prime is 2220452153119. The reversal of 2220452153112 is 2113512540222.

It is a self number, because there is not a number n which added to its sum of digits gives 2220452153112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220452153119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269697348 + ... + 269705580.

Almost surely, 22220452153112 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 2220452153112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956953898080).

2220452153112 is an abundant number, since it is smaller than the sum of its proper divisors (3693455643048).

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

2220452153112 is a wasteful number, since it uses less digits than its factorization.

2220452153112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2220452153112 its reverse (2113512540222), we get a palindrome (4333964693334).

The spelling of 2220452153112 in words is "two trillion, two hundred twenty billion, four hundred fifty-two million, one hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 173 204 346 408 519 692 1038 1384 2076 2941 3821 4152 5882 7642 8233 8823 11463 11764 15284 16466 17646 22926 23528 24699 30568 32932 35292 45852 49398 64957 65864 70584 91704 98796 129914 139961 194871 197592 259828 279922 389742 419883 519656 559844 661033 779484 839766 1119688 1322066 1424309 1558968 1679532 1983099 2644132 2848618 3359064 3966198 4272927 5288264 5697236 7932396 8545854 11237561 11394472 15864792 17091708 22475122 24213253 31458293 33712683 34183416 44950244 48426506 62916586 67425366 72639759 89900488 94374879 96853012 125833172 134850732 145279518 188749758 193706024 251666344 269701464 290559036 377499516 534790981 581118072 754999032 1069581962 1604372943 2139163924 3208745886 4278327848 5442284689 6417491772 10884569378 12834983544 16326854067 21769138756 32653708134 43538277512 65307416268 92518839713 130614832536 185037679426 277556519139 370075358852 555113038278 740150717704 1110226076556 2220452153112