Search a number
-
+
2251454040 = 2332511568549
BaseRepresentation
bin1000011000110010…
…0111011001011000
312210220111201022200
42012030213121120
514102333012130
61011224250200
7106536020643
oct20614473130
95726451280
102251454040
11a55983820
1252a010960
1329b5a8834
14175032a5a
15d29d2760
hex86327658

2251454040 has 96 divisors (see below), whose sum is σ = 7982442000. Its totient is φ = 545806080.

The previous prime is 2251454021. The next prime is 2251454057. The reversal of 2251454040 is 404541522.

2251454040 is a `hidden beast` number, since 2 + 251 + 4 + 5 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2251453995 and 2251454013.

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, 280315 + ... + 288234.

Almost surely, 22251454040 is an apocalyptic number.

2251454040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251454040 is an abundant number, since it is smaller than the sum of its proper divisors (5730987960).

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

2251454040 is a wasteful number, since it uses less digits than its factorization.

2251454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568577 (or 568570 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2251454040 is about 47449.4893544704. The cubic root of 2251454040 is about 1310.6529076410.

Adding to 2251454040 its reverse (404541522), we get a palindrome (2655995562).

The spelling of 2251454040 in words is "two billion, two hundred fifty-one million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 568549 1137098 1705647 2274196 2842745 3411294 4548392 5116941 5685490 6254039 6822588 8528235 10233882 11370980 12508078 13645176 17056470 18762117 20467764 22741960 25016156 25584705 31270195 34112940 37524234 40935528 50032312 51169410 56286351 62540390 68225880 75048468 93810585 102338820 112572702 125080780 150096936 187621170 204677640 225145404 250161560 281431755 375242340 450290808 562863510 750484680 1125727020 2251454040