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2245776 = 243135961
BaseRepresentation
bin1000100100010010010000
311020002121220
420210102100
51033331101
6120045040
725042311
oct10442220
94202556
102245776
1112a4315
12903780
13608280
14426608
152e5636
hex224490

2245776 has 80 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 668160.

The previous prime is 2245759. The next prime is 2245783. The reversal of 2245776 is 6775422.

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, 36786 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

22245776 is an apocalyptic number.

2245776 is a gapful number since it is divisible by the number (26) 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 2245776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2245776 is an abundant number, since it is smaller than the sum of its proper divisors (4212144).

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

2245776 is a wasteful number, since it uses less digits than its factorization.

2245776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 2245776 is about 1498.5913385576. The cubic root of 2245776 is about 130.9550182567.

The spelling of 2245776 in words is "two million, two hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 61 78 104 118 122 156 177 183 208 236 244 312 354 366 472 488 624 708 732 767 793 944 976 1416 1464 1534 1586 2301 2379 2832 2928 3068 3172 3599 4602 4758 6136 6344 7198 9204 9516 10797 12272 12688 14396 18408 19032 21594 28792 36816 38064 43188 46787 57584 86376 93574 140361 172752 187148 280722 374296 561444 748592 1122888 2245776