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2254120 = 2351147109
BaseRepresentation
bin1000100110010100101000
311020112001221
420212110220
51034112440
6120151424
725105531
oct10462450
94215057
102254120
1112aa610
12908574
1360bccb
14429688
152e7d4a
hex226528

2254120 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 794880.

The previous prime is 2254111. The next prime is 2254121. The reversal of 2254120 is 214522.

It is a junction number, because it is equal to n+sod(n) for n = 2254094 and 2254103.

It is not an unprimeable number, because it can be changed into a prime (2254121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20626 + ... + 20734.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22254120 is an apocalyptic number.

2254120 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 2254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2254120 is an abundant number, since it is smaller than the sum of its proper divisors (3448280).

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

2254120 is a wasteful number, since it uses less digits than its factorization.

2254120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2254120 is about 1501.3727052268. The cubic root of 2254120 is about 131.1170020867.

Adding to 2254120 its reverse (214522), we get a palindrome (2468642).

It can be divided in two parts, 2254 and 120, that multiplied together give a triangular number (270480 = T735).

The spelling of 2254120 in words is "two million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 109 110 188 218 220 235 376 436 440 470 517 545 872 940 1034 1090 1199 1880 2068 2180 2398 2585 4136 4360 4796 5123 5170 5995 9592 10246 10340 11990 20492 20680 23980 25615 40984 47960 51230 56353 102460 112706 204920 225412 281765 450824 563530 1127060 2254120