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2221313343032 = 237289239266401
BaseRepresentation
bin100000010100110000100…
…101111011111000111000
321212100121010221112122202
4200110300211323320320
5242343222203434112
64420242434005332
7316325133611300
oct40246045737070
97770533845582
102221313343032
11787065522073
122ba609416848
13131613388514
147972544c600
153cbac6466c2
hex2053097be38

2221313343032 has 96 divisors (see below), whose sum is σ = 4919912136000. Its totient is φ = 937352908800.

The previous prime is 2221313343019. The next prime is 2221313343043. The reversal of 2221313343032 is 2303433131222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2221313342986 and 2221313343004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8205032 + ... + 8471432.

It is an arithmetic number, because the mean of its divisors is an integer number (51249084750).

Almost surely, 22221313343032 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 2221313343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459956068000).

2221313343032 is an abundant number, since it is smaller than the sum of its proper divisors (2698598792968).

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

2221313343032 is a wasteful number, since it uses less digits than its factorization.

2221313343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266749 (or 266738 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 2221313343032 its reverse (2303433131222), we get a palindrome (4524746474254).

The spelling of 2221313343032 in words is "two trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 239 356 392 478 623 712 956 1246 1673 1912 2492 3346 4361 4984 6692 8722 11711 13384 17444 21271 23422 34888 42542 46844 85084 93688 148897 170168 266401 297794 532802 595588 1042279 1065604 1191176 1864807 2084558 2131208 3729614 4169116 7459228 8338232 13053649 14918456 23709689 26107298 47419378 52214596 63669839 94838756 104429192 127339678 165967823 189677512 254679356 331935646 445688873 509358712 663871292 891377746 1161774761 1327742584 1782755492 2323549522 3119822111 3565510984 4647099044 5666615671 6239644222 9294198088 11333231342 12479288444 22666462684 24958576888 39666309697 45332925368 79332619394 158665238788 277664167879 317330477576 555328335758 1110656671516 2221313343032