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144255220 = 225194147197
BaseRepresentation
bin10001001100100…
…10100011110100
3101001102220221221
420212102203310
5243412131340
622151520124
73401102104
oct1046224364
9331386857
10144255220
117447909a
1240389044
1323b6a125
1415231204
15c9e744a
hex89928f4

144255220 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 51932160.

The previous prime is 144255157. The next prime is 144255253. The reversal of 144255220 is 22552441.

144255220 = T176 + T177 + ... + T954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732162 + ... + 732358.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2144255220 is an apocalyptic number.

144255220 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 144255220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

144255220 is an abundant number, since it is smaller than the sum of its proper divisors (191045900).

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

144255220 is a wasteful number, since it uses less digits than its factorization.

144255220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 144255220 is about 12010.6294589418. The cubic root of 144255220 is about 524.4577560872.

The spelling of 144255220 in words is "one hundred forty-four million, two hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 47 76 82 94 95 164 188 190 197 205 235 380 394 410 470 779 788 820 893 940 985 1558 1786 1927 1970 3116 3572 3743 3854 3895 3940 4465 7486 7708 7790 8077 8930 9259 9635 14972 15580 16154 17860 18518 18715 19270 32308 36613 37036 37430 38540 40385 46295 73226 74860 80770 92590 146452 153463 161540 175921 183065 185180 306926 351842 366130 379619 613852 703684 732260 759238 767315 879605 1518476 1534630 1759210 1898095 3069260 3518420 3796190 7212761 7592380 14425522 28851044 36063805 72127610 144255220