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144842220 = 22325732151
BaseRepresentation
bin10001010001000…
…01110111101100
3101002112202011200
420220201313230
5244034422340
622212245500
73406065345
oct1050416754
9332482150
10144842220
117483a116
1240610890
1324014373
14153450cc
15cab1330
hex8a21dec

144842220 has 108 divisors (see below), whose sum is σ = 448405776. Its totient is φ = 37843200.

The previous prime is 144842219. The next prime is 144842231. The reversal of 144842220 is 22248441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 959145 + ... + 959295.

Almost surely, 2144842220 is an apocalyptic number.

144842220 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 144842220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224202888).

144842220 is an abundant number, since it is smaller than the sum of its proper divisors (303563556).

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

144842220 is a wasteful number, since it uses less digits than its factorization.

144842220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144842220 is about 12035.0413376939. The cubic root of 144842220 is about 525.1681638164.

The spelling of 144842220 in words is "one hundred forty-four million, eight hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 151 180 219 292 302 365 438 453 604 657 730 755 876 906 1095 1314 1359 1460 1510 1812 2190 2265 2628 2718 3020 3285 4380 4530 5329 5436 6570 6795 9060 10658 11023 13140 13590 15987 21316 22046 26645 27180 31974 33069 44092 47961 53290 55115 63948 66138 79935 95922 99207 106580 110230 132276 159870 165345 191844 198414 220460 239805 319740 330690 396828 479610 496035 661380 804679 959220 992070 1609358 1984140 2414037 3218716 4023395 4828074 7242111 8046790 9656148 12070185 14484222 16093580 24140370 28968444 36210555 48280740 72421110 144842220