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2331214000 = 24537116417
BaseRepresentation
bin1000101011110011…
…1000000010110000
320000110120221102021
42022330320002300
514233242322000
61023154001224
7111524664163
oct21274700260
96013527367
102331214000
11a96a00645
12550876214
132b1c8388b
14181875ada
15d99da11a
hex8af380b0

2331214000 has 80 divisors (see below), whose sum is σ = 5716616256. Its totient is φ = 919296000.

The previous prime is 2331213991. The next prime is 2331214001. The reversal of 2331214000 is 4121332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2331214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133792 + ... + 150208.

Almost surely, 22331214000 is an apocalyptic number.

2331214000 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 2331214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858308128).

2331214000 is an abundant number, since it is smaller than the sum of its proper divisors (3385402256).

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

2331214000 is a wasteful number, since it uses less digits than its factorization.

2331214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2331214000 is about 48282.6469862621. The cubic root of 2331214000 is about 1325.9507120111.

Adding to 2331214000 its reverse (4121332), we get a palindrome (2335335332).

The spelling of 2331214000 in words is "two billion, three hundred thirty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 16417 17750 28400 32834 35500 65668 71000 82085 131336 142000 164170 262672 328340 410425 656680 820850 1165607 1313360 1641700 2052125 2331214 3283400 4104250 4662428 5828035 6566800 8208500 9324856 11656070 16417000 18649712 23312140 29140175 32834000 46624280 58280350 93248560 116560700 145700875 233121400 291401750 466242800 582803500 1165607000 2331214000