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122230000 = 245417719
BaseRepresentation
bin1110100100100…
…01010011110000
322111222221001001
413102101103300
5222242330000
620043451344
73012636454
oct722212360
9274887031
10122230000
1162aa5232
1234b26b54
131c427c59
141233a664
15aae646a
hex74914f0

122230000 has 100 divisors (see below), whose sum is σ = 313774560. Its totient is φ = 45952000.

The previous prime is 122229977. The next prime is 122230057. The reversal of 122230000 is 32221.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169641 + ... + 170359.

Almost surely, 2122230000 is an apocalyptic number.

122230000 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 122230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156887280).

122230000 is an abundant number, since it is smaller than the sum of its proper divisors (191544560).

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

122230000 is an equidigital number, since it uses as much as digits as its factorization.

122230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 122230000 is about 11055.7677254906. The cubic root of 122230000 is about 496.2790443359.

Adding to 122230000 its reverse (32221), we get a palindrome (122262221).

The spelling of 122230000 in words is "one hundred twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 719 850 1000 1250 1360 1438 1700 2000 2125 2500 2876 3400 3595 4250 5000 5752 6800 7190 8500 10000 10625 11504 12223 14380 17000 17975 21250 24446 28760 34000 35950 42500 48892 57520 61115 71900 85000 89875 97784 122230 143800 170000 179750 195568 244460 287600 305575 359500 449375 488920 611150 719000 898750 977840 1222300 1438000 1527875 1797500 2444600 3055750 3595000 4889200 6111500 7190000 7639375 12223000 15278750 24446000 30557500 61115000 122230000