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1214498190 = 235172778597
BaseRepresentation
bin100100001100011…
…1100010110001110
310010122021220022110
41020120330112032
54441402420230
6320302524450
742045031023
oct11030742616
93118256273
101214498190
11573609514
1229a896726
131647cc5a9
14b742554a
15719514b0
hex4863c58e

1214498190 has 64 divisors (see below), whose sum is σ = 3097756224. Its totient is φ = 303679488.

The previous prime is 1214498137. The next prime is 1214498203. The reversal of 1214498190 is 918944121.

It is a super-2 number, since 2×12144981902 = 2950011707026552200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136972 + ... + 145568.

It is an arithmetic number, because the mean of its divisors is an integer number (48402441).

Almost surely, 21214498190 is an apocalyptic number.

1214498190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214498190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548878112).

1214498190 is an abundant number, since it is smaller than the sum of its proper divisors (1883258034).

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

1214498190 is a wasteful number, since it uses less digits than its factorization.

1214498190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901.

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1214498190 is about 34849.6512177669. The cubic root of 1214498190 is about 1066.9210670333.

The spelling of 1214498190 in words is "one billion, two hundred fourteen million, four hundred ninety-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 277 510 554 831 1385 1662 2770 4155 4709 8310 8597 9418 14127 17194 23545 25791 28254 42985 47090 51582 70635 85970 128955 141270 146149 257910 292298 438447 730745 876894 1461490 2192235 2381369 4384470 4762738 7144107 11906845 14288214 23813690 35720535 40483273 71441070 80966546 121449819 202416365 242899638 404832730 607249095 1214498190