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2241214040 = 2351317253531
BaseRepresentation
bin1000010110010110…
…0011011001011000
312210012020110200102
42011211203121120
514042222322130
61010220554532
7106353001502
oct20545433130
95705213612
102241214040
11a5011a30a
125266b2a48
13299431970
14173928d72
15d1b5d645
hex85963658

2241214040 has 64 divisors (see below), whose sum is σ = 5750105760. Its totient is φ = 778844160.

The previous prime is 2241214009. The next prime is 2241214043. The reversal of 2241214040 is 404121422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241214043) 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, 117926 + ... + 135605.

Almost surely, 22241214040 is an apocalyptic number.

2241214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241214040 is an abundant number, since it is smaller than the sum of its proper divisors (3508891720).

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

2241214040 is a wasteful number, since it uses less digits than its factorization.

2241214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253572 (or 253568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2241214040 is about 47341.4621658436. The cubic root of 2241214040 is about 1308.6628626539.

Adding to 2241214040 its reverse (404121422), we get a palindrome (2645335462).

The spelling of 2241214040 in words is "two billion, two hundred forty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 253531 507062 1014124 1267655 2028248 2535310 3295903 4310027 5070620 6591806 8620054 10141240 13183612 16479515 17240108 21550135 26367224 32959030 34480216 43100270 56030351 65918060 86200540 112060702 131836120 172401080 224121404 280151755 448242808 560303510 1120607020 2241214040