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2234960 = 245713307
BaseRepresentation
bin1000100001101001010000
311012112210022
420201221100
51033004320
6115523012
724665630
oct10415120
94175708
102234960
111297182
128b9468
13603380
144226c0
152e2325
hex221a50

2234960 has 80 divisors (see below), whose sum is σ = 6416256. Its totient is φ = 705024.

The previous prime is 2234959. The next prime is 2234971. The reversal of 2234960 is 694322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7127 + ... + 7433.

22234960 is an apocalyptic number.

2234960 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 2234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208128).

2234960 is an abundant number, since it is smaller than the sum of its proper divisors (4181296).

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

2234960 is a wasteful number, since it uses less digits than its factorization.

2234960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2234960 is about 1494.9782607115. The cubic root of 2234960 is about 130.7444467271.

The spelling of 2234960 in words is "two million, two hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 307 364 455 520 560 614 728 910 1040 1228 1456 1535 1820 2149 2456 3070 3640 3991 4298 4912 6140 7280 7982 8596 10745 12280 15964 17192 19955 21490 24560 27937 31928 34384 39910 42980 55874 63856 79820 85960 111748 139685 159640 171920 223496 279370 319280 446992 558740 1117480 2234960