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144722240 = 26513191831
BaseRepresentation
bin10001010000001…
…00100101000000
3101002022122120222
420220010211000
5244022102430
622205522212
73405055505
oct1050044500
9332278528
10144722240
1174767a63
1240573368
1323ca1880
14153134ac
15ca8a9e5
hex8a04940

144722240 has 112 divisors (see below), whose sum is σ = 390875520. Its totient is φ = 50595840.

The previous prime is 144722239. The next prime is 144722293. The reversal of 144722240 is 42227441.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78125 + ... + 79955.

It is an arithmetic number, because the mean of its divisors is an integer number (3489960).

Almost surely, 2144722240 is an apocalyptic number.

144722240 is a gapful number since it is divisible by the number (10) 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 144722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195437760).

144722240 is an abundant number, since it is smaller than the sum of its proper divisors (246153280).

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

144722240 is a wasteful number, since it uses less digits than its factorization.

144722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 144722240 is about 12030.0556939692. The cubic root of 144722240 is about 525.0231161401.

Adding to 144722240 its reverse (42227441), we get a palindrome (186949681).

The spelling of 144722240 in words is "one hundred forty-four million, seven hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 832 988 1040 1216 1235 1520 1831 1976 2080 2470 3040 3662 3952 4160 4940 6080 7324 7904 9155 9880 14648 15808 18310 19760 23803 29296 34789 36620 39520 47606 58592 69578 73240 79040 95212 117184 119015 139156 146480 173945 190424 238030 278312 292960 347890 380848 452257 476060 556624 585920 695780 761696 904514 952120 1113248 1391560 1523392 1809028 1904240 2226496 2261285 2783120 3618056 3808480 4522570 5566240 7236112 7616960 9045140 11132480 14472224 18090280 28944448 36180560 72361120 144722240