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2252026000 = 24537315189
BaseRepresentation
bin1000011000111011…
…0011000010010000
312210221120202220101
42012032303002100
514103004313000
61011244422144
7106543622320
oct20616630220
95727522811
102252026000
11a56234514
1252a247954
1329b748c83
14175141280
15d2a96e6a
hex863b3090

2252026000 has 160 divisors (see below), whose sum is σ = 6425303040. Its totient is φ = 747072000.

The previous prime is 2252025967. The next prime is 2252026003. The reversal of 2252026000 is 6202522.

It is a super-2 number, since 2×22520260002 = 10143242209352000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252026003) 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, 431406 + ... + 436594.

It is an arithmetic number, because the mean of its divisors is an integer number (40158144).

Almost surely, 22252026000 is an apocalyptic number.

2252026000 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 2252026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212651520).

2252026000 is an abundant number, since it is smaller than the sum of its proper divisors (4173277040).

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

2252026000 is a wasteful number, since it uses less digits than its factorization.

2252026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2252026000 is about 47455.5160123668. The cubic root of 2252026000 is about 1310.7638844517.

Adding to 2252026000 its reverse (6202522), we get a palindrome (2258228522).

The spelling of 2252026000 in words is "two billion, two hundred fifty-two million, twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5189 5425 6200 7000 7750 8680 10378 10850 12400 14000 15500 17360 20756 21700 25945 27125 31000 36323 41512 43400 51890 54250 62000 72646 83024 86800 103780 108500 129725 145292 160859 181615 207560 217000 259450 290584 321718 363230 415120 434000 518900 581168 643436 648625 726460 804295 908075 1037800 1126013 1286872 1297250 1452920 1608590 1816150 2075600 2252026 2573744 2594500 2905840 3217180 3632300 4021475 4504052 4540375 5189000 5630065 6434360 7264600 8042950 9008104 9080750 10378000 11260130 12868720 14529200 16085900 18016208 18161500 20107375 22520260 28150325 32171800 36323000 40214750 45040520 56300650 64343600 72646000 80429500 90081040 112601300 140751625 160859000 225202600 281503250 321718000 450405200 563006500 1126013000 2252026000