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2223211212032 = 2867827156733
BaseRepresentation
bin100000010110100001101…
…101101110110100000000
321212112111102010021111012
4200112201231232310000
5242411114032241112
64421155031540052
7316423150334126
oct40264155566400
97775442107435
102223211212032
11787949852148
122baa58b2a628
13131856624125
147986551d916
153cc6e083022
hex205a1b6ed00

2223211212032 has 72 divisors (see below), whose sum is σ = 4509447830496. Its totient is φ = 1093683419136.

The previous prime is 2223211212031. The next prime is 2223211212059. The reversal of 2223211212032 is 2302121123222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2223211211989 and 2223211212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223211212031) 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 7 ways as a sum of consecutive naturals, for example, 14106338 + ... + 14263070.

It is an arithmetic number, because the mean of its divisors is an integer number (62631219868).

Almost surely, 22223211212032 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 2223211212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254723915248).

2223211212032 is an abundant number, since it is smaller than the sum of its proper divisors (2286236618464).

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

2223211212032 is an equidigital number, since it uses as much as digits as its factorization.

2223211212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157643 (or 157629 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2223211212032 its reverse (2302121123222), we get a palindrome (4525332335254).

The spelling of 2223211212032 in words is "two trillion, two hundred twenty-three billion, two hundred eleven million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 827 1072 1654 2144 3308 4288 6616 8576 13232 17152 26464 52928 55409 105856 110818 156733 211712 221636 313466 443272 626932 886544 1253864 1773088 2507728 3546176 5015456 7092352 10030912 10501111 14184704 20061824 21002222 40123648 42004444 84008888 129618191 168017776 259236382 336035552 518472764 672071104 1036945528 1344142208 2073891056 2688284416 4147782112 8295564224 8684418797 16591128448 17368837594 33182256896 34737675188 69475350376 138950700752 277901401504 555802803008 1111605606016 2223211212032