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2262453240 = 233525773361
BaseRepresentation
bin1000011011011010…
…0100101111111000
312211200012112101110
42012312210233320
514113142000430
61012300120320
7110031351405
oct20666445770
95750175343
102262453240
11a61106673
125318360a0
132a095a138
141766972ac
15d39567b0
hex86da4bf8

2262453240 has 64 divisors (see below), whose sum is σ = 6813862560. Its totient is φ = 600965120.

The previous prime is 2262453239. The next prime is 2262453373. The reversal of 2262453240 is 423542622.

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

It is a junction number, because it is equal to n+sod(n) for n = 2262453198 and 2262453207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5841 + ... + 67520.

Almost surely, 22262453240 is an apocalyptic number.

2262453240 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 2262453240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406931280).

2262453240 is an abundant number, since it is smaller than the sum of its proper divisors (4551409320).

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

2262453240 is a wasteful number, since it uses less digits than its factorization.

2262453240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73632 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2262453240 is about 47565.2524433541. The cubic root of 2262453240 is about 1312.7837855296.

Adding to 2262453240 its reverse (423542622), we get a palindrome (2685995862).

The spelling of 2262453240 in words is "two billion, two hundred sixty-two million, four hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 15420 30840 73361 146722 220083 293444 366805 440166 586888 733610 880332 1100415 1467220 1760664 2200830 2934440 4401660 8803320 18853777 37707554 56561331 75415108 94268885 113122662 150830216 188537770 226245324 282806655 377075540 452490648 565613310 754151080 1131226620 2262453240