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2269944 = 233431113
BaseRepresentation
bin1000101010001011111000
311021022210000
420222023320
51040114234
6120353000
725202625
oct10521370
94238700
102269944
111310496
12915760
13616281
1443134c
152ec899
hex22a2f8

2269944 has 80 divisors (see below), whose sum is σ = 6621120. Its totient is φ = 725760.

The previous prime is 2269931. The next prime is 2269961. The reversal of 2269944 is 4499622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2269899 and 2269908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20032 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (82764).

22269944 is an apocalyptic number.

2269944 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 2269944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310560).

2269944 is an abundant number, since it is smaller than the sum of its proper divisors (4351176).

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

2269944 is a wasteful number, since it uses less digits than its factorization.

2269944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2269944 is about 1506.6333329646. The cubic root of 2269944 is about 131.4231022119.

The spelling of 2269944 in words is "two million, two hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 113 124 162 186 216 226 248 279 324 339 372 452 558 648 678 744 837 904 1017 1116 1356 1674 2034 2232 2511 2712 3051 3348 3503 4068 5022 6102 6696 7006 8136 9153 10044 10509 12204 14012 18306 20088 21018 24408 28024 31527 36612 42036 63054 73224 84072 94581 126108 189162 252216 283743 378324 567486 756648 1134972 2269944