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2212111221232 = 2411331349108803
BaseRepresentation
bin100000001100001100000…
…110101000000111110000
321211110211211112022122211
4200030030012220013300
5242220400433034412
64412121352341504
7315551115064663
oct40141406500760
97743754468584
102212111221232
11783173129830
122b887b6a4894
131307a7a8a233
14790d12616da
153c81e841ca7
hex2030c1a81f0

2212111221232 has 80 divisors (see below), whose sum is σ = 4703205225600. Its totient is φ = 999585734400.

The previous prime is 2212111221169. The next prime is 2212111221253. The reversal of 2212111221232 is 2321221112122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20276943 + ... + 20385745.

It is an arithmetic number, because the mean of its divisors is an integer number (58790065320).

Almost surely, 22212111221232 is an apocalyptic number.

2212111221232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212111221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351602612800).

2212111221232 is an abundant number, since it is smaller than the sum of its proper divisors (2491094004368).

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

2212111221232 is a wasteful number, since it uses less digits than its factorization.

2212111221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109502 (or 109496 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

Adding to 2212111221232 its reverse (2321221112122), we get a palindrome (4533332333354).

The spelling of 2212111221232 in words is "two trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 331 349 662 698 1324 1396 2648 2792 3641 3839 5296 5584 7282 7678 14564 15356 29128 30712 58256 61424 108803 115519 217606 231038 435212 462076 870424 924152 1196833 1270709 1740848 1848304 2393666 2541418 4787332 5082836 9574664 10165672 19149328 20331344 36013793 37972247 72027586 75944494 144055172 151888988 288110344 303777976 396151723 417694717 576220688 607555952 792303446 835389434 1584606892 1670778868 3169213784 3341557736 6338427568 6683115472 12568813757 25137627514 50275255028 100550510056 138256951327 201101020112 276513902654 553027805308 1106055610616 2212111221232