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2273964 = 22371123107
BaseRepresentation
bin1000101011001010101100
311021112021220
420223022230
51040231324
6120423340
725220430
oct10531254
94245256
102273964
111313510
12917b50
13618054
144329c0
152edb79
hex22b2ac

2273964 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 559680.

The previous prime is 2273963. The next prime is 2273981. The reversal of 2273964 is 4693722.

2273964 = T89 + T90 + ... + T242.

2273964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2273963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21199 + ... + 21305.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

22273964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2273964 is an abundant number, since it is smaller than the sum of its proper divisors (4693332).

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

2273964 is a wasteful number, since it uses less digits than its factorization.

2273964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2273964 is about 1507.9668431368. The cubic root of 2273964 is about 131.5006385296.

The spelling of 2273964 in words is "two million, two hundred seventy-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 107 132 138 154 161 214 231 253 276 308 321 322 428 462 483 506 642 644 749 759 924 966 1012 1177 1284 1498 1518 1771 1932 2247 2354 2461 2996 3036 3531 3542 4494 4708 4922 5313 7062 7084 7383 8239 8988 9844 10626 14124 14766 16478 17227 21252 24717 27071 29532 32956 34454 49434 51681 54142 68908 81213 98868 103362 108284 162426 189497 206724 324852 378994 568491 757988 1136982 2273964