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22214541000 = 2335337200131
BaseRepresentation
bin10100101100000101…
…101111111011001000
32010100011120121101210
4110230011233323020
5330443410303000
614112154413120
71414332324441
oct245405577310
963304517353
1022214541000
11946a5904a3
12437b7311a0
13213042aa22
14110a46a2c8
158a03ab350
hex52c16fec8

22214541000 has 128 divisors (see below), whose sum is σ = 71182949760. Its totient is φ = 5763744000.

The previous prime is 22214540981. The next prime is 22214541017. The reversal of 22214541000 is 14541222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10935 + ... + 211065.

It is an arithmetic number, because the mean of its divisors is an integer number (556116795).

Almost surely, 222214541000 is an apocalyptic number.

22214541000 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 22214541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35591474880).

22214541000 is an abundant number, since it is smaller than the sum of its proper divisors (48968408760).

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

22214541000 is a wasteful number, since it uses less digits than its factorization.

22214541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200192 (or 200178 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 22214541000 in words is "twenty-two billion, two hundred fourteen million, five hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 200131 400262 600393 800524 1000655 1200786 1601048 2001310 2401572 3001965 4002620 4803144 5003275 6003930 7404847 8005240 10006550 12007860 14809694 15009825 20013100 22214541 24015720 25016375 29619388 30019650 37024235 40026200 44429082 50032750 59238776 60039300 74048470 75049125 88858164 100065500 111072705 120078600 148096940 150098250 177716328 185121175 200131000 222145410 296193880 300196500 370242350 444290820 555363525 600393000 740484700 888581640 925605875 1110727050 1480969400 1851211750 2221454100 2776817625 3702423500 4442908200 5553635250 7404847000 11107270500 22214541000