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2227126304 = 251331373463
BaseRepresentation
bin1000010010111111…
…0100000000100000
312202012201201221102
42010233310000200
514030121020204
61004555013532
7106122155414
oct20457640040
95665651842
102227126304
11a43177a57
12521a3a2a8
1329653b620
14171adcd44
15d07c941e
hex84bf4020

2227126304 has 96 divisors (see below), whose sum is σ = 4897880064. Its totient is φ = 989936640.

The previous prime is 2227126261. The next prime is 2227126333. The reversal of 2227126304 is 4036217222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809977 + ... + 4810439.

It is an arithmetic number, because the mean of its divisors is an integer number (51019584).

Almost surely, 22227126304 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 2227126304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448940032).

2227126304 is an abundant number, since it is smaller than the sum of its proper divisors (2670753760).

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

2227126304 is a wasteful number, since it uses less digits than its factorization.

2227126304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2227126304 is about 47192.4390554250. The cubic root of 2227126304 is about 1305.9151166624.

The spelling of 2227126304 in words is "two billion, two hundred twenty-seven million, one hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 373 403 416 463 496 746 806 926 992 1492 1612 1852 2984 3224 3704 4849 5968 6019 6448 7408 9698 11563 11936 12038 12896 14353 14816 19396 23126 24076 28706 38792 46252 48152 57412 77584 92504 96304 114824 150319 155168 172699 185008 186589 192608 229648 300638 345398 370016 373178 459296 601276 690796 746356 1202552 1381592 1492712 2245087 2405104 2763184 2985424 4490174 4810208 5353669 5526368 5970848 8980348 10707338 17960696 21414676 35921392 42829352 69597697 71842784 85658704 139195394 171317408 278390788 556781576 1113563152 2227126304