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2232120 = 2335111989
BaseRepresentation
bin1000100000111100111000
311012101220010
420200330320
51032411440
6115501520
724654432
oct10407470
94171803
102232120
111295030
128b78a0
13601ca7
14421652
152e1580
hex220f38

2232120 has 128 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 506880.

The previous prime is 2232107. The next prime is 2232133. The reversal of 2232120 is 212322.

It is an interprime number because it is at equal distance from previous prime (2232107) and next prime (2232133).

It is a super-3 number, since 3×22321203 = 33363674163192384000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2232096 and 2232105.

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, 25036 + ... + 25124.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

22232120 is an apocalyptic number.

2232120 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 2232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2232120 is an abundant number, since it is smaller than the sum of its proper divisors (5543880).

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

2232120 is a wasteful number, since it uses less digits than its factorization.

2232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2232120 is about 1494.0281121853. The cubic root of 2232120 is about 130.6890435554.

Adding to 2232120 its reverse (212322), we get a palindrome (2444442).

The spelling of 2232120 in words is "two million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 89 95 110 114 120 132 152 165 178 190 209 220 228 264 267 285 330 356 380 418 440 445 456 534 570 627 660 712 760 836 890 979 1045 1068 1140 1254 1320 1335 1672 1691 1780 1958 2090 2136 2280 2508 2670 2937 3135 3382 3560 3916 4180 4895 5016 5073 5340 5874 6270 6764 7832 8360 8455 9790 10146 10680 11748 12540 13528 14685 16910 18601 19580 20292 23496 25080 25365 29370 33820 37202 39160 40584 50730 55803 58740 67640 74404 93005 101460 111606 117480 148808 186010 202920 223212 279015 372020 446424 558030 744040 1116060 2232120