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5214234300 = 22352118319037
BaseRepresentation
bin1001101101100101…
…01110011010111100
3111110101111112202220
410312302232122330
541134320444200
62221223045340
7243133155162
oct46662563274
914411445686
105214234300
112236332450
1210162a0850
1365135ab52
1437670b232
15207b734a0
hex136cae6bc

5214234300 has 144 divisors (see below), whose sum is σ = 16657183872. Its totient is φ = 1248761600.

The previous prime is 5214234283. The next prime is 5214234323. The reversal of 5214234300 is 34324125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264382 + ... + 283418.

It is an arithmetic number, because the mean of its divisors is an integer number (115674888).

Almost surely, 25214234300 is an apocalyptic number.

5214234300 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 5214234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328591936).

5214234300 is an abundant number, since it is smaller than the sum of its proper divisors (11442949572).

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

5214234300 is a wasteful number, since it uses less digits than its factorization.

5214234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19148 (or 19141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5214234300 is about 72209.6551715905. The cubic root of 5214234300 is about 1734.0575790823.

Adding to 5214234300 its reverse (34324125), we get a palindrome (5248558425).

The spelling of 5214234300 in words is "five billion, two hundred fourteen million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 83 100 110 132 150 165 166 220 249 275 300 330 332 415 498 550 660 825 830 913 996 1100 1245 1650 1660 1826 2075 2490 2739 3300 3652 4150 4565 4980 5478 6225 8300 9130 10956 12450 13695 18260 19037 22825 24900 27390 38074 45650 54780 57111 68475 76148 91300 95185 114222 136950 190370 209407 228444 273900 285555 380740 418814 475925 571110 628221 837628 951850 1047035 1142220 1256442 1427775 1580071 1903700 2094070 2512884 2855550 3141105 3160142 4188140 4740213 5235175 5711100 6282210 6320284 7900355 9480426 10470350 12564420 15705525 15800710 17380781 18960852 20940700 23701065 31411050 31601420 34761562 39501775 47402130 52142343 62822100 69523124 79003550 86903905 94804260 104284686 118505325 158007100 173807810 208569372 237010650 260711715 347615620 434519525 474021300 521423430 869039050 1042846860 1303558575 1738078100 2607117150 5214234300