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10223230000 = 24542514073
BaseRepresentation
bin10011000010101101…
…00001110000110000
3222101110210220010011
421201112201300300
5131414121330000
64410235144304
7511225010164
oct114126416060
928343726104
1010223230000
114376824015
121b938a5094
13c6c019129
146cda70ca4
153ec7a52ba
hex2615a1c30

10223230000 has 100 divisors (see below), whose sum is σ = 24856174728. Its totient is φ = 4072000000.

The previous prime is 10223229983. The next prime is 10223230001. The reversal of 10223230000 is 3232201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (10223230001) 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 19 ways as a sum of consecutive naturals, for example, 2507964 + ... + 2512036.

Almost surely, 210223230000 is an apocalyptic number.

10223230000 is a gapful number since it is divisible by the number (10) 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 10223230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428087364).

10223230000 is an abundant number, since it is smaller than the sum of its proper divisors (14632944728).

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

10223230000 is an equidigital number, since it uses as much as digits as its factorization.

10223230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10223230000 its reverse (3232201), we get a palindrome (10226462201).

The spelling of 10223230000 in words is "ten billion, two hundred twenty-three million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 251 400 500 502 625 1000 1004 1250 1255 2000 2008 2500 2510 4016 4073 5000 5020 6275 8146 10000 10040 12550 16292 20080 20365 25100 31375 32584 40730 50200 62750 65168 81460 100400 101825 125500 156875 162920 203650 251000 313750 325840 407300 502000 509125 627500 814600 1018250 1022323 1255000 1629200 2036500 2044646 2510000 2545625 4073000 4089292 5091250 5111615 8146000 8178584 10182500 10223230 16357168 20365000 20446460 25558075 40730000 40892920 51116150 81785840 102232300 127790375 204464600 255580750 408929200 511161500 638951875 1022323000 1277903750 2044646000 2555807500 5111615000 10223230000