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2414200000 = 265512071
BaseRepresentation
bin1000111111100101…
…1100010011000000
320020020202001210211
42033321130103000
514421013400000
61035320403504
7113553234652
oct21771342300
96206661724
102414200000
111029831213
12574616594
132c621b114
1418c8b86d2
15e1e2d7ba
hex8fe5c4c0

2414200000 has 84 divisors (see below), whose sum is σ = 5988460464. Its totient is φ = 965600000.

The previous prime is 2414199967. The next prime is 2414200003. The reversal of 2414200000 is 24142.

It is not an unprimeable number, because it can be changed into a prime (2414200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193965 + ... + 206035.

It is an arithmetic number, because the mean of its divisors is an integer number (71291196).

Almost surely, 22414200000 is an apocalyptic number.

2414200000 is a gapful number since it is divisible by the number (20) 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 2414200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994230232).

2414200000 is an abundant number, since it is smaller than the sum of its proper divisors (3574260464).

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

2414200000 is an frugal number, since it uses more digits than its factorization.

2414200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2414200000 is about 49134.5092577508. The cubic root of 2414200000 is about 1341.5012505622.

Adding to 2414200000 its reverse (24142), we get a palindrome (2414224142).

2414200000 divided by its reverse (24142) gives a 5-th power (100000 = 105).

The spelling of 2414200000 in words is "two billion, four hundred fourteen million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12071 12500 20000 24142 25000 40000 48284 50000 60355 96568 100000 120710 193136 200000 241420 301775 386272 482840 603550 772544 965680 1207100 1508875 1931360 2414200 3017750 3862720 4828400 6035500 7544375 9656800 12071000 15088750 19313600 24142000 30177500 37721875 48284000 60355000 75443750 96568000 120710000 150887500 241420000 301775000 482840000 603550000 1207100000 2414200000