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5334323200 = 21252113461
BaseRepresentation
bin1001111011111001…
…10101000000000000
3111202202110200202221
410331330311000000
541411041320300
62241153020424
7246121666453
oct47574650000
914682420687
105334323200
1122980a4a78
12104a554714
136701b637b
1438864b49a
1521349531a
hex13df35000

5334323200 has 156 divisors (see below), whose sum is σ = 13373511228. Its totient is φ = 2110259200.

The previous prime is 5334323173. The next prime is 5334323213. The reversal of 5334323200 is 23234335.

It can be written as a sum of positive squares in 6 ways, for example, as 1504198656 + 3830124544 = 38784^2 + 61888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11570970 + ... + 11571430.

Almost surely, 25334323200 is an apocalyptic number.

5334323200 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 5334323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686755614).

5334323200 is an abundant number, since it is smaller than the sum of its proper divisors (8039188028).

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

5334323200 is a wasteful number, since it uses less digits than its factorization.

5334323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 5334323200 is about 73036.4511733696. The cubic root of 5334323200 is about 1747.2690138089.

Adding to 5334323200 its reverse (23234335), we get a palindrome (5357557535).

The spelling of 5334323200 in words is "five billion, three hundred thirty-four million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 128 160 200 226 256 320 400 452 461 512 565 640 800 904 922 1024 1130 1280 1600 1808 1844 2048 2260 2305 2560 2825 3200 3616 3688 4096 4520 4610 5120 5650 6400 7232 7376 9040 9220 10240 11300 11525 12800 14464 14752 18080 18440 20480 22600 23050 25600 28928 29504 36160 36880 45200 46100 51200 52093 57856 59008 72320 73760 90400 92200 102400 104186 115712 118016 144640 147520 180800 184400 208372 231424 236032 260465 289280 295040 361600 368800 416744 462848 472064 520930 578560 590080 723200 737600 833488 944128 1041860 1157120 1180160 1302325 1446400 1475200 1666976 1888256 2083720 2314240 2360320 2604650 2892800 2950400 3333952 4167440 4720640 5209300 5785600 5900800 6667904 8334880 9441280 10418600 11571200 11801600 13335808 16669760 20837200 23603200 26671616 33339520 41674400 47206400 53343232 66679040 83348800 106686464 133358080 166697600 213372928 266716160 333395200 533432320 666790400 1066864640 1333580800 2667161600 5334323200