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2144623000 = 235313199829
BaseRepresentation
bin111111111010100…
…0101100110011000
312112110111010200111
41333311011212120
513343010414000
6552450414104
7104100665122
oct17765054630
95473433614
102144623000
11a00647003
124ba291334
132824129c0
14164b84212
15c842dcba
hex7fd45998

2144623000 has 128 divisors (see below), whose sum is σ = 5438160000. Its totient is φ = 786931200.

The previous prime is 2144622937. The next prime is 2144623009. The reversal of 2144623000 is 3264412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144623009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2586586 + ... + 2587414.

It is an arithmetic number, because the mean of its divisors is an integer number (42485625).

Almost surely, 22144623000 is an apocalyptic number.

2144623000 is a gapful number since it is divisible by the number (20) 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 2144623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719080000).

2144623000 is an abundant number, since it is smaller than the sum of its proper divisors (3293537000).

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

2144623000 is a wasteful number, since it uses less digits than its factorization.

2144623000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2144623000 is about 46310.0744978887. The cubic root of 2144623000 is about 1289.5860298588.

Adding to 2144623000 its reverse (3264412), we get a palindrome (2147887412).

The spelling of 2144623000 in words is "two billion, one hundred forty-four million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 199 200 250 260 325 398 500 520 650 796 829 995 1000 1300 1592 1625 1658 1990 2587 2600 3250 3316 3980 4145 4975 5174 6500 6632 7960 8290 9950 10348 10777 12935 13000 16580 19900 20696 20725 21554 24875 25870 33160 39800 41450 43108 49750 51740 53885 64675 82900 86216 99500 103480 103625 107770 129350 164971 165800 199000 207250 215540 258700 269425 323375 329942 414500 431080 517400 538850 646750 659884 824855 829000 1077700 1293500 1319768 1347125 1649710 2144623 2155400 2587000 2694250 3299420 4124275 4289246 5388500 6598840 8248550 8578492 10723115 10777000 16497100 17156984 20621375 21446230 32994200 41242750 42892460 53615575 82485500 85784920 107231150 164971000 214462300 268077875 428924600 536155750 1072311500 2144623000