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2275944 = 2331137233
BaseRepresentation
bin1000101011101001101000
311021122000020
420223221220
51040312234
6120440440
725226256
oct10535150
94248006
102275944
111314a50
12919120
13618c18
144335d6
152ee549
hex22ba68

2275944 has 64 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 668160.

The previous prime is 2275937. The next prime is 2275961. The reversal of 2275944 is 4495722.

2275944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22759442 = 10359842182272, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9652 + ... + 9884.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

22275944 is an apocalyptic number.

2275944 is a gapful number since it is divisible by the number (24) 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 2275944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2275944 is an abundant number, since it is smaller than the sum of its proper divisors (4126296).

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

2275944 is a wasteful number, since it uses less digits than its factorization.

2275944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2275944 is about 1508.6232133969. The cubic root of 2275944 is about 131.5387944737.

Subtracting from 2275944 its sum of digits (33), we obtain a triangular number (2275911 = T2133).

The spelling of 2275944 in words is "two million, two hundred seventy-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 233 264 296 407 444 466 699 814 888 932 1221 1398 1628 1864 2442 2563 2796 3256 4884 5126 5592 7689 8621 9768 10252 15378 17242 20504 25863 30756 34484 51726 61512 68968 94831 103452 189662 206904 284493 379324 568986 758648 1137972 2275944