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2213015261344 = 254112311370227
BaseRepresentation
bin100000001101000001111…
…111010001000010100000
321211120011211122022112221
4200031001333101002200
5242224223401330334
64412351205200424
7315612403231306
oct40150177210240
97746154568487
102213015261344
11783597470518
122b8a92400114
131308c0169804
1479179350276
153c873dba8b4
hex20341fd10a0

2213015261344 has 48 divisors (see below), whose sum is σ = 4466767890816. Its totient is φ = 1078641907200.

The previous prime is 2213015261339. The next prime is 2213015261381. The reversal of 2213015261344 is 4431625103122.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929959 + ... + 2300185.

It is an arithmetic number, because the mean of its divisors is an integer number (93057664392).

Almost surely, 22213015261344 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 2213015261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233383945408).

2213015261344 is an abundant number, since it is smaller than the sum of its proper divisors (2253752629472).

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

2213015261344 is a wasteful number, since it uses less digits than its factorization.

2213015261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371509 (or 1371501 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 2213015261344 in words is "two trillion, two hundred thirteen billion, fifteen million, two hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1231 1312 2462 4924 9848 19696 39392 50471 100942 201884 403768 807536 1370227 1615072 2740454 5480908 10961816 21923632 43847264 56179307 112358614 224717228 449434456 898868912 1686749437 1797737824 3373498874 6746997748 13493995496 26987990992 53975981984 69156726917 138313453834 276626907668 553253815336 1106507630672 2213015261344