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144230220 = 2235559503
BaseRepresentation
bin10001001100011…
…00011101001100
3101001101122200000
420212030131030
5243410331340
622151204300
73400636161
oct1046143514
9331348600
10144230220
1174461332
1240376690
1323b5b934
1415226068
15c9ded30
hex898c74c

144230220 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 37734336.

The previous prime is 144230209. The next prime is 144230231. The reversal of 144230220 is 22032441.

144230220 is a `hidden beast` number, since 1 + 442 + 3 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (144230209) and next prime (144230231).

It is a super-2 number, since 2×1442302202 = 41604712722496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144230193 and 144230202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286489 + ... + 286991.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2144230220 is an apocalyptic number.

144230220 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 144230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

144230220 is an abundant number, since it is smaller than the sum of its proper divisors (318078900).

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

144230220 is a wasteful number, since it uses less digits than its factorization.

144230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144230220 is about 12009.5886690594. The cubic root of 144230220 is about 524.4274574693.

Adding to 144230220 its reverse (22032441), we get a palindrome (166262661).

The spelling of 144230220 in words is "one hundred forty-four million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 243 270 295 324 354 405 486 503 531 540 590 708 810 885 972 1006 1062 1180 1215 1509 1593 1620 1770 2012 2124 2430 2515 2655 3018 3186 3540 4527 4779 4860 5030 5310 6036 6372 7545 7965 9054 9558 10060 10620 13581 14337 15090 15930 18108 19116 22635 23895 27162 28674 29677 30180 31860 40743 45270 47790 54324 57348 59354 67905 71685 81486 89031 90540 95580 118708 122229 135810 143370 148385 162972 178062 203715 244458 267093 271620 286740 296770 356124 407430 445155 488916 534186 593540 611145 801279 814860 890310 1068372 1222290 1335465 1602558 1780620 2403837 2444580 2670930 3205116 4006395 4807674 5341860 7211511 8012790 9615348 12019185 14423022 16025580 24038370 28846044 36057555 48076740 72115110 144230220