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2229136832 = 261317173911
BaseRepresentation
bin1000010011011101…
…1110110111000000
312202100111212212102
42010313132313000
514031124334312
61005110045532
7106145231126
oct20467366700
95670455772
102229136832
11a4432054a
125226498a8
13296a937a0
141720a3916
15d0a74ec2
hex84ddedc0

2229136832 has 112 divisors (see below), whose sum is σ = 5078650752. Its totient is φ = 961658880.

The previous prime is 2229136807. The next prime is 2229136841. The reversal of 2229136832 is 2386319222.

2229136832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2446457 + ... + 2447367.

It is an arithmetic number, because the mean of its divisors is an integer number (45345096).

Almost surely, 22229136832 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 2229136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539325376).

2229136832 is an abundant number, since it is smaller than the sum of its proper divisors (2849513920).

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

2229136832 is a wasteful number, since it uses less digits than its factorization.

2229136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 2229136832 is about 47213.7356285223. The cubic root of 2229136832 is about 1306.3079680875.

The spelling of 2229136832 in words is "two billion, two hundred twenty-nine million, one hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 173 208 221 272 346 416 442 544 692 832 884 911 1088 1384 1768 1822 2249 2768 2941 3536 3644 4498 5536 5882 7072 7288 8996 11072 11764 11843 14144 14576 15487 17992 23528 23686 29152 30974 35984 38233 47056 47372 58304 61948 71968 76466 94112 94744 123896 143936 152932 157603 188224 189488 201331 247792 305864 315206 378976 402662 495584 611728 630412 757952 805324 991168 1223456 1260824 1610648 2048839 2446912 2521648 2679251 3221296 4097678 5043296 5358502 6442592 8195356 10086592 10717004 12885184 16390712 21434008 32781424 34830263 42868016 65562848 69660526 85736032 131125696 139321052 171472064 278642104 557284208 1114568416 2229136832