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5422314304 = 261171831307
BaseRepresentation
bin1010000110011000…
…11111001101000000
3111222220001002212201
411003030133031000
542101103024204
62254015002544
7251240624341
oct50314371500
914886032781
105422314304
112332833aa0
121073b09454
136854b3b04
143961d40c8
1521b0769a4
hex14331f340

5422314304 has 112 divisors (see below), whose sum is σ = 12056034816. Its totient is φ = 2398860800.

The previous prime is 5422314277. The next prime is 5422314323. The reversal of 5422314304 is 4034132245.

It is a happy number.

It is a super-2 number, since 2×54223143042 = 58802984822726008832, which contains 22 as substring.

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, 4148019 + ... + 4149325.

It is an arithmetic number, because the mean of its divisors is an integer number (107643168).

Almost surely, 25422314304 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 5422314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028017408).

5422314304 is an abundant number, since it is smaller than the sum of its proper divisors (6633720512).

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

5422314304 is a wasteful number, since it uses less digits than its factorization.

5422314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 5422314304 is about 73636.3653638608. The cubic root of 5422314304 is about 1756.8238930375.

Adding to 5422314304 its reverse (4034132245), we get a palindrome (9456446549).

It can be divided in two parts, 542231 and 4304, that added together give a triangular number (546535 = T1045).

The spelling of 5422314304 in words is "five billion, four hundred twenty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 83 88 142 166 176 284 332 352 568 664 704 781 913 1136 1307 1328 1562 1826 2272 2614 2656 3124 3652 4544 5228 5312 5893 6248 7304 10456 11786 12496 14377 14608 20912 23572 24992 28754 29216 41824 47144 49984 57508 58432 64823 83648 92797 94288 108481 115016 129646 185594 188576 216962 230032 259292 371188 377152 433924 460064 518584 742376 867848 920128 1020767 1037168 1193291 1484752 1735696 2041534 2074336 2386582 2969504 3471392 4083068 4148672 4773164 5939008 6942784 7702151 8166136 9546328 15404302 16332272 19092656 30808604 32664544 38185312 61617208 65329088 76370624 84723661 123234416 169447322 246468832 338894644 492937664 677789288 1355578576 2711157152 5422314304