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5508022000 = 245313415167
BaseRepresentation
bin1010010000100110…
…11011111011110000
3112012212022111201211
411020103123323300
542240023201000
62310320005504
7253331262115
oct51023337360
915185274654
105508022000
1123771534a8
121098760894
1369a192120
143a374490c
152238567ba
hex1484dbef0

5508022000 has 160 divisors (see below), whose sum is σ = 14695559424. Its totient is φ = 1983744000.

The previous prime is 5508021977. The next prime is 5508022001. The reversal of 5508022000 is 2208055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5508022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063417 + ... + 1068583.

Almost surely, 25508022000 is an apocalyptic number.

5508022000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5508022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347779712).

5508022000 is an abundant number, since it is smaller than the sum of its proper divisors (9187537424).

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

5508022000 is a wasteful number, since it uses less digits than its factorization.

5508022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5508022000 is about 74216.0494771852. The cubic root of 5508022000 is about 1766.0319463479.

The spelling of 5508022000 in words is "five billion, five hundred eight million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 41 50 52 65 80 82 100 104 125 130 164 200 205 208 250 260 325 328 400 410 500 520 533 650 656 820 1000 1025 1040 1066 1300 1625 1640 2000 2050 2132 2600 2665 3250 3280 4100 4264 5125 5167 5200 5330 6500 8200 8528 10250 10334 10660 13000 13325 16400 20500 20668 21320 25835 26000 26650 41000 41336 42640 51670 53300 66625 67171 82000 82672 103340 106600 129175 133250 134342 206680 211847 213200 258350 266500 268684 335855 413360 423694 516700 533000 537368 645875 671710 847388 1033400 1059235 1066000 1074736 1291750 1343420 1679275 1694776 2066800 2118470 2583500 2686840 2754011 3358550 3389552 4236940 5167000 5296175 5373680 5508022 6717100 8396375 8473880 10334000 10592350 11016044 13434200 13770055 16792750 16947760 21184700 22032088 26480875 26868400 27540110 33585500 42369400 44064176 52961750 55080220 67171000 68850275 84738800 105923500 110160440 134342000 137700550 211847000 220320880 275401100 344251375 423694000 550802200 688502750 1101604400 1377005500 2754011000 5508022000