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2242466592 = 253312109223
BaseRepresentation
bin1000010110101001…
…0101001100100000
312210021121002212020
42011222111030200
514043032412332
61010303501440
7106366436322
oct20552251440
95707532766
102242466592
11a508a5383
12526bb7880
1329977cb12
14173b73612
15d1d0982c
hex85a95320

2242466592 has 144 divisors (see below), whose sum is σ = 6165815040. Its totient is φ = 713525760.

The previous prime is 2242466543. The next prime is 2242466593. The reversal of 2242466592 is 2956642422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2242466593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10055793 + ... + 10056015.

It is an arithmetic number, because the mean of its divisors is an integer number (42818160).

Almost surely, 22242466592 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 2242466592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082907520).

2242466592 is an abundant number, since it is smaller than the sum of its proper divisors (3923348448).

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

2242466592 is a wasteful number, since it uses less digits than its factorization.

2242466592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 368 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2242466592 is about 47354.6892292622. The cubic root of 2242466592 is about 1308.9066089732.

The spelling of 2242466592 in words is "two billion, two hundred forty-two million, four hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 109 124 186 218 223 248 327 372 436 446 496 654 669 744 872 892 961 992 1308 1338 1488 1744 1784 1922 2616 2676 2883 2976 3379 3488 3568 3844 5232 5352 5766 6758 6913 7136 7688 10137 10464 10704 11532 13516 13826 15376 20274 20739 21408 23064 24307 27032 27652 30752 40548 41478 46128 48614 54064 55304 72921 81096 82956 92256 97228 104749 108128 110608 145842 162192 165912 194456 209498 214303 221216 291684 314247 324384 331824 388912 418996 428606 583368 628494 642909 663648 753517 777824 837992 857212 1166736 1256988 1285818 1507034 1675984 1714424 2260551 2333472 2513976 2571636 3014068 3351968 3428848 4521102 5027952 5143272 6028136 6857696 9042204 10055904 10286544 12056272 18084408 20573088 23359027 24112544 36168816 46718054 70077081 72337632 93436108 140154162 186872216 280308324 373744432 560616648 747488864 1121233296 2242466592