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5214062500 = 22584771
BaseRepresentation
bin1001101101100100…
…00100011110100100
3111110101011211002221
410312302010132210
541134300000000
62221215242124
7243131541253
oct46662043644
914411154087
105214062500
112236225369
121016219344
136512ca8aa
143766a479a
15207b3c61a
hex136c847a4

5214062500 has 108 divisors (see below), whose sum is σ = 11812493952. Its totient is φ = 2012500000.

The previous prime is 5214062423. The next prime is 5214062507. The reversal of 5214062500 is 52604125.

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

It is not an unprimeable number, because it can be changed into a prime (5214062507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73437465 + ... + 73437535.

It is an arithmetic number, because the mean of its divisors is an integer number (109374944).

Almost surely, 25214062500 is an apocalyptic number.

5214062500 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 5214062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906246976).

5214062500 is an abundant number, since it is smaller than the sum of its proper divisors (6598431452).

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

5214062500 is an frugal number, since it uses more digits than its factorization.

5214062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5214062500 is about 72208.4655701809. The cubic root of 5214062500 is about 1734.0385341406.

Adding to 5214062500 its reverse (52604125), we get a palindrome (5266666625).

The spelling of 5214062500 in words is "five billion, two hundred fourteen million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 71 94 100 125 142 188 235 250 284 355 470 500 625 710 940 1175 1250 1420 1775 2350 2500 3125 3337 3550 4700 5875 6250 6674 7100 8875 11750 12500 13348 15625 16685 17750 23500 29375 31250 33370 35500 44375 58750 62500 66740 78125 83425 88750 117500 146875 156250 166850 177500 221875 293750 312500 333700 390625 417125 443750 587500 734375 781250 834250 887500 1109375 1468750 1562500 1668500 2085625 2218750 2937500 3671875 4171250 4437500 5546875 7343750 8342500 10428125 11093750 14687500 18359375 20856250 22187500 27734375 36718750 41712500 52140625 55468750 73437500 104281250 110937500 208562500 260703125 521406250 1042812500 1303515625 2607031250 5214062500