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2273920 = 275111719
BaseRepresentation
bin1000101011001010000000
311021112020021
420223022000
51040231140
6120423224
725220335
oct10531200
94245207
102273920
111313480
12917b14
1361801c
1443298c
152edb4a
hex22b280

2273920 has 128 divisors (see below), whose sum is σ = 6609600. Its totient is φ = 737280.

The previous prime is 2273911. The next prime is 2273923. The reversal of 2273920 is 293722.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2273923) by changing a digit.

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, 119671 + ... + 119689.

22273920 is an apocalyptic number.

2273920 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 2273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800).

2273920 is an abundant number, since it is smaller than the sum of its proper divisors (4335680).

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

2273920 is a wasteful number, since it uses less digits than its factorization.

2273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 2273920 is about 1507.9522538860. The cubic root of 2273920 is about 131.4997903682.

The spelling of 2273920 in words is "two million, two hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 19 20 22 32 34 38 40 44 55 64 68 76 80 85 88 95 110 128 136 152 160 170 176 187 190 209 220 272 304 320 323 340 352 374 380 418 440 544 608 640 646 680 704 748 760 836 880 935 1045 1088 1216 1292 1360 1408 1496 1520 1615 1672 1760 1870 2090 2176 2432 2584 2720 2992 3040 3230 3344 3520 3553 3740 4180 5168 5440 5984 6080 6460 6688 7040 7106 7480 8360 10336 10880 11968 12160 12920 13376 14212 14960 16720 17765 20672 23936 25840 26752 28424 29920 33440 35530 41344 51680 56848 59840 66880 71060 103360 113696 119680 133760 142120 206720 227392 284240 454784 568480 1136960 2273920