Search a number
-
+
21225084000 = 253531768757
BaseRepresentation
bin10011110001000111…
…010001010001100000
32000210012201222120020
4103301013101101200
5321432110142000
613430051113440
71350656144241
oct236107212140
960705658506
1021225084000
11900200883a
1241442a2880
132003442603
141054ca4cc8
158435adba0
hex4f11d1460

21225084000 has 96 divisors (see below), whose sum is σ = 69533414496. Its totient is φ = 5660019200.

The previous prime is 21225083987. The next prime is 21225084073. The reversal of 21225084000 is 48052212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872379 + ... + 896378.

It is an arithmetic number, because the mean of its divisors is an integer number (724306401).

Almost surely, 221225084000 is an apocalyptic number.

21225084000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21225084000 is an abundant number, since it is smaller than the sum of its proper divisors (48308330496).

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

21225084000 is a wasteful number, since it uses less digits than its factorization.

21225084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768785 (or 1768767 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 21225084000 in words is "twenty-one billion, two hundred twenty-five million, eighty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1768757 3537514 5306271 7075028 8843785 10612542 14150056 17687570 21225084 26531355 28300112 35375140 42450168 44218925 53062710 56600224 70750280 84900336 88437850 106125420 132656775 141500560 169800672 176875700 212250840 221094625 265313550 283001120 353751400 424501680 442189250 530627100 663283875 707502800 849003360 884378500 1061254200 1326567750 1415005600 1768757000 2122508400 2653135500 3537514000 4245016800 5306271000 7075028000 10612542000 21225084000