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2266434 = 23319472
BaseRepresentation
bin1000101001010101000010
311021010222000
420221111002
51040011214
6120324430
725156452
oct10512502
94233860
102266434
111308895
12913716
136147b1
1442dd62
152eb809
hex229542

2266434 has 48 divisors (see below), whose sum is σ = 5416800. Its totient is φ = 700488.

The previous prime is 2266427. The next prime is 2266447. The reversal of 2266434 is 4346622.

2266434 is a `hidden beast` number, since 226 + 6 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2266398 and 2266407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48199 + ... + 48245.

It is an arithmetic number, because the mean of its divisors is an integer number (112850).

22266434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708400).

2266434 is an abundant number, since it is smaller than the sum of its proper divisors (3150366).

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

2266434 is a wasteful number, since it uses less digits than its factorization.

2266434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2266434 is about 1505.4680335364. The cubic root of 2266434 is about 131.3553276972.

Subtracting from 2266434 its product of digits (6912), we obtain a palindrome (2259522).

The spelling of 2266434 in words is "two million, two hundred sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 94 114 141 171 282 342 423 513 846 893 1026 1269 1786 2209 2538 2679 4418 5358 6627 8037 13254 16074 19881 24111 39762 41971 48222 59643 83942 119286 125913 251826 377739 755478 1133217 2266434