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2144730700 = 2252729310457
BaseRepresentation
bin111111111010101…
…1111111001001100
312112110200121102101
41333311133321030
513343022340300
6552453004444
7104101624120
oct17765377114
95473617371
102144730700
11a0070aa12
124ba323724
1328244ca28
14164bb1580
15c8450b6a
hex7fd5fe4c

2144730700 has 72 divisors (see below), whose sum is σ = 5337595872. Its totient is φ = 732756480.

The previous prime is 2144730683. The next prime is 2144730713. The reversal of 2144730700 is 70374412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199872 + ... + 210328.

It is an arithmetic number, because the mean of its divisors is an integer number (74133276).

Almost surely, 22144730700 is an apocalyptic number.

2144730700 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 2144730700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668797936).

2144730700 is an abundant number, since it is smaller than the sum of its proper divisors (3192865172).

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

2144730700 is a wasteful number, since it uses less digits than its factorization.

2144730700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10771 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2144730700 is about 46311.2372972263. The cubic root of 2144730700 is about 1289.6076165729.

The spelling of 2144730700 in words is "two billion, one hundred forty-four million, seven hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 293 350 586 700 1172 1465 2051 2930 4102 5860 7325 8204 10255 10457 14650 20510 20914 29300 41020 41828 51275 52285 73199 102550 104570 146398 205100 209140 261425 292796 365995 522850 731990 1045700 1463980 1829975 3063901 3659950 6127802 7319900 12255604 15319505 21447307 30639010 42894614 61278020 76597525 85789228 107236535 153195050 214473070 306390100 428946140 536182675 1072365350 2144730700