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214311500 = 22531332971
BaseRepresentation
bin11001100011000…
…10001001001100
3112221021011002222
430301202021030
5414330432000
633133234512
75211421604
oct1461421114
9487234088
10214311500
11aaa78447
125b932a38
1335528450
1420669c04
1513c34a85
hexcc6224c

214311500 has 48 divisors (see below), whose sum is σ = 504075936. Its totient is φ = 79128000.

The previous prime is 214311473. The next prime is 214311523. The reversal of 214311500 is 5113412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9986 + ... + 22985.

It is an arithmetic number, because the mean of its divisors is an integer number (10501582).

Almost surely, 2214311500 is an apocalyptic number.

214311500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214311500 is an abundant number, since it is smaller than the sum of its proper divisors (289764436).

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

214311500 is a wasteful number, since it uses less digits than its factorization.

214311500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33003 (or 32991 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 214311500 is about 14639.3818175495. The cubic root of 214311500 is about 598.4324824549.

Adding to 214311500 its reverse (5113412), we get a palindrome (219424912).

The spelling of 214311500 in words is "two hundred fourteen million, three hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 32971 65942 131884 164855 329710 428623 659420 824275 857246 1648550 1714492 2143115 3297100 4121375 4286230 8242750 8572460 10715575 16485500 21431150 42862300 53577875 107155750 214311500