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2281734 = 2327213199
BaseRepresentation
bin1000101101000100000110
311021220221200
420231010012
51041003414
6120523330
725252200
oct10550406
94256850
102281734
111319334
12920546
1361b750
14435770
15301109
hex22d106

2281734 has 72 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 598752.

The previous prime is 2281717. The next prime is 2281739. The reversal of 2281734 is 4371822.

Its product of digits (2688) is a multiple of the sum of its prime divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2281698 and 2281707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281739) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11367 + ... + 11565.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

22281734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2281734 is an abundant number, since it is smaller than the sum of its proper divisors (3942666).

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

2281734 is a wasteful number, since it uses less digits than its factorization.

2281734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2281734 is about 1510.5409627018. The cubic root of 2281734 is about 131.6502448853.

The spelling of 2281734 in words is "two million, two hundred eighty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 199 234 273 294 398 441 546 597 637 819 882 1194 1274 1393 1638 1791 1911 2587 2786 3582 3822 4179 5174 5733 7761 8358 9751 11466 12537 15522 18109 19502 23283 25074 29253 36218 46566 54327 58506 87759 108654 126763 162981 175518 253526 325962 380289 760578 1140867 2281734