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2198340 = 223452359
BaseRepresentation
bin1000011000101101000100
311010200120000
420120231010
51030321330
6115041300
724454104
oct10305504
94120500
102198340
111271711
128a0230
135bc7c1
14413204
152d6560
hex218b44

2198340 has 120 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 551232.

The previous prime is 2198327. The next prime is 2198347. The reversal of 2198340 is 438912.

2198340 = T131 + T132 + ... + T248.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2198347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37231 + ... + 37289.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

22198340 is an apocalyptic number.

2198340 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 2198340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2198340 is an abundant number, since it is smaller than the sum of its proper divisors (5119740).

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

2198340 is a wasteful number, since it uses less digits than its factorization.

2198340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2198340 is about 1482.6800059352. The cubic root of 2198340 is about 130.0264246087.

The spelling of 2198340 in words is "two million, one hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 59 60 69 81 90 92 108 115 118 135 138 162 177 180 207 230 236 270 276 295 324 345 354 405 414 460 531 540 590 621 690 708 810 828 885 1035 1062 1180 1242 1357 1380 1593 1620 1770 1863 2070 2124 2484 2655 2714 3105 3186 3540 3726 4071 4140 4779 5310 5428 6210 6372 6785 7452 7965 8142 9315 9558 10620 12213 12420 13570 15930 16284 18630 19116 20355 23895 24426 27140 31860 36639 37260 40710 47790 48852 61065 73278 81420 95580 109917 122130 146556 183195 219834 244260 366390 439668 549585 732780 1099170 2198340