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1469342224 = 2472374
BaseRepresentation
bin101011110010100…
…0110001000010000
310210101211022121101
41113211012020100
511002122422344
6401445034144
751261126400
oct12745061020
93711738541
101469342224
11694450619
123500b5954
131a5549a8c
14dd202800
1588ee09d4
hex57946210

1469342224 has 75 divisors (see below), whose sum is σ = 3403632507. Its totient is φ = 612698688.

The previous prime is 1469342221. The next prime is 1469342279. The reversal of 1469342224 is 4222439641.

The square root of 1469342224 is 38332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 916151824 + 553190400 = 30268^2 + 23520^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1469342221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39711934 + ... + 39711970.

Almost surely, 21469342224 is an apocalyptic number.

1469342224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1469342224 is the 38332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1469342224

1469342224 is an abundant number, since it is smaller than the sum of its proper divisors (1934290283).

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

1469342224 is an frugal number, since it uses more digits than its factorization.

1469342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 46 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The cubic root of 1469342224 is about 1136.8617452934.

Multiplying 1469342224 by its product of digits (82944), we get a square (121873121427456 = 110396162).

The spelling of 1469342224 in words is "one billion, four hundred sixty-nine million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1369 1813 2072 2738 3626 4144 5476 7252 9583 10952 14504 19166 21904 29008 38332 50653 67081 76664 101306 134162 153328 202612 268324 354571 405224 536648 709142 810448 1073296 1418284 1874161 2481997 2836568 3748322 4963994 5673136 7496644 9927988 13119127 14993288 19855976 26238254 29986576 39711952 52476508 91833889 104953016 183667778 209906032 367335556 734671112 1469342224