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2252793480 = 233572681897
BaseRepresentation
bin1000011001000110…
…1110011010001000
312211000000202200120
42012101232122020
514103203342410
61011313103240
7106553300010
oct20621563210
95730022616
102252793480
11a567090a3
1252a557b20
1329b9573c2
141752a0c40
15d2b99570
hex8646e688

2252793480 has 64 divisors (see below), whose sum is σ = 7723866240. Its totient is φ = 514924032.

The previous prime is 2252793449. The next prime is 2252793481. The reversal of 2252793480 is 843972522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2252793481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340109 + ... + 1341788.

It is an arithmetic number, because the mean of its divisors is an integer number (120685410).

Almost surely, 22252793480 is an apocalyptic number.

2252793480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252793480 is an abundant number, since it is smaller than the sum of its proper divisors (5471072760).

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

2252793480 is a wasteful number, since it uses less digits than its factorization.

2252793480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681918 (or 2681914 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2252793480 is about 47463.6016332516. The cubic root of 2252793480 is about 1310.9127682878.

The spelling of 2252793480 in words is "two billion, two hundred fifty-two million, seven hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2681897 5363794 8045691 10727588 13409485 16091382 18773279 21455176 26818970 32182764 37546558 40228455 53637940 56319837 64365528 75093116 80456910 93866395 107275880 112639674 150186232 160913820 187732790 225279348 281599185 321827640 375465580 450558696 563198370 750931160 1126396740 2252793480