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2254140 = 2232571789
BaseRepresentation
bin1000100110010100111100
311020112002200
420212110330
51034113030
6120151500
725105560
oct10462474
94215080
102254140
1112aa629
12908590
1360c015
144296a0
152e7d60
hex22653c

2254140 has 72 divisors (see below), whose sum is σ = 7818720. Its totient is φ = 514944.

The previous prime is 2254129. The next prime is 2254157. The reversal of 2254140 is 414522.

It is a super-2 number, since 2×22541402 = 10162294279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 366 + ... + 2154.

22254140 is an apocalyptic number.

2254140 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 2254140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909360).

2254140 is an abundant number, since it is smaller than the sum of its proper divisors (5564580).

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

2254140 is a wasteful number, since it uses less digits than its factorization.

2254140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2254140 is about 1501.3793657833. The cubic root of 2254140 is about 131.1173898703.

Adding to 2254140 its reverse (414522), we get a palindrome (2668662).

The spelling of 2254140 in words is "two million, two hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1789 3578 5367 7156 8945 10734 12523 16101 17890 21468 25046 26835 32202 35780 37569 50092 53670 62615 64404 75138 80505 107340 112707 125230 150276 161010 187845 225414 250460 322020 375690 450828 563535 751380 1127070 2254140