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2044214000 = 24531815647
BaseRepresentation
bin111100111011000…
…0011101011110000
312021110112211102122
41321312003223300
513141304322000
6534502333412
7101441350403
oct17166035360
95243484378
102044214000
119599a6264
1249072a268
13267687caa
141556c7d3a
15be6e8085
hex79d83af0

2044214000 has 80 divisors (see below), whose sum is σ = 4971098496. Its totient is φ = 813024000.

The previous prime is 2044213979. The next prime is 2044214021. The reversal of 2044214000 is 4124402.

It is an interprime number because it is at equal distance from previous prime (2044213979) and next prime (2044214021).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2044214000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359177 + ... + 364823.

Almost surely, 22044214000 is an apocalyptic number.

2044214000 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 2044214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485549248).

2044214000 is an abundant number, since it is smaller than the sum of its proper divisors (2926884496).

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

2044214000 is a wasteful number, since it uses less digits than its factorization.

2044214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2044214000 is about 45212.9848605464. The cubic root of 2044214000 is about 1269.1378197572.

Adding to 2044214000 its reverse (4124402), we get a palindrome (2048338402).

The spelling of 2044214000 in words is "two billion, forty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1810 2000 2896 3620 4525 5647 7240 9050 11294 14480 18100 22588 22625 28235 36200 45176 45250 56470 72400 90352 90500 112940 141175 181000 225880 282350 362000 451760 564700 705875 1022107 1129400 1411750 2044214 2258800 2823500 4088428 5110535 5647000 8176856 10221070 11294000 16353712 20442140 25552675 40884280 51105350 81768560 102210700 127763375 204421400 255526750 408842800 511053500 1022107000 2044214000