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2232012224 = 26132819547
BaseRepresentation
bin1000010100001001…
…1100110111000000
312202112220222011102
42011002130313000
514032343342344
61005251433532
7106211535161
oct20502346700
95675828142
102232012224
11a45a04902
125235b58a8
1329755c4c0
14172611768
15d0e41e4e
hex8509cdc0

2232012224 has 56 divisors (see below), whose sum is σ = 4787329008. Its totient is φ = 1026385920.

The previous prime is 2232012217. The next prime is 2232012241. The reversal of 2232012224 is 4222102322.

It is a super-3 number, since 3×22320122243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232012196 and 2232012205.

It is a congruent number.

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, 229019 + ... + 238565.

It is an arithmetic number, because the mean of its divisors is an integer number (85488018).

Almost surely, 22232012224 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 2232012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393664504).

2232012224 is an abundant number, since it is smaller than the sum of its proper divisors (2555316784).

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

2232012224 is a wasteful number, since it uses less digits than its factorization.

2232012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2232012224 is about 47244.1766146898. The cubic root of 2232012224 is about 1306.8694011871.

Adding to 2232012224 its reverse (4222102322), we get a palindrome (6454114546).

The spelling of 2232012224 in words is "two billion, two hundred thirty-two million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 281 416 562 832 1124 2248 3653 4496 7306 8992 9547 14612 17984 19094 29224 38188 58448 76376 116896 124111 152752 233792 248222 305504 496444 611008 992888 1985776 2682707 3971552 5365414 7943104 10730828 21461656 34875191 42923312 69750382 85846624 139500764 171693248 279001528 558003056 1116006112 2232012224