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5522202400 = 2552111348271
BaseRepresentation
bin1010010010010011…
…00001111100100000
3112020211222221120211
411021021201330200
542302140434100
62311543543504
7253562642311
oct51111417440
915224887524
105522202400
112384159440
1210a145ab94
136a00b86b0
143a5596608
15224c081ba
hex149261f20

5522202400 has 144 divisors (see below), whose sum is σ = 15838236288. Its totient is φ = 1853568000.

The previous prime is 5522202317. The next prime is 5522202419. The reversal of 5522202400 is 42022255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90265 + ... + 138535.

It is an arithmetic number, because the mean of its divisors is an integer number (109987752).

Almost surely, 25522202400 is an apocalyptic number.

5522202400 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 5522202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919118144).

5522202400 is an abundant number, since it is smaller than the sum of its proper divisors (10316033888).

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

5522202400 is a wasteful number, since it uses less digits than its factorization.

5522202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48315 (or 48302 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 5522202400 is about 74311.5226596791. The cubic root of 5522202400 is about 1767.5461970778.

Adding to 5522202400 its reverse (42022255), we get a palindrome (5564224655).

The spelling of 5522202400 in words is "five billion, five hundred twenty-two million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 48271 57200 96542 114400 193084 241355 386168 482710 530981 627523 772336 965420 1061962 1206775 1255046 1544672 1930840 2123924 2413550 2510092 2654905 3137615 3861680 4247848 4827100 5020184 5309810 6275230 6902753 7723360 8495696 9654200 10040368 10619620 12550460 13274525 13805506 15688075 16991392 19308400 20080736 21239240 25100920 26549050 27611012 31376150 34513765 38616800 42478480 50201840 53098100 55222024 62752300 69027530 84956960 100403680 106196200 110444048 125504600 138055060 172568825 212392400 220888096 251009200 276110120 345137650 424784800 502018400 552220240 690275300 1104440480 1380550600 2761101200 5522202400