Search a number
-
+
2274780 = 2235311223
BaseRepresentation
bin1000101011010111011100
311021120102010
420223113130
51040243110
6120431220
725223004
oct10532734
94246363
102274780
111314092
12918510
13618531
14433004
152ee020
hex22b5dc

2274780 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 586560.

The previous prime is 2274763. The next prime is 2274793. The reversal of 2274780 is 874722.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1249 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

22274780 is an apocalyptic number.

2274780 is a gapful number since it is divisible by the number (20) 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 2274780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2274780 is an abundant number, since it is smaller than the sum of its proper divisors (4305444).

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

2274780 is a wasteful number, since it uses less digits than its factorization.

2274780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2274780 is about 1508.2373818468. The cubic root of 2274780 is about 131.5163660856.

The spelling of 2274780 in words is "two million, two hundred seventy-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1223 1860 2446 3669 4892 6115 7338 12230 14676 18345 24460 36690 37913 73380 75826 113739 151652 189565 227478 379130 454956 568695 758260 1137390 2274780