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2250246000 = 243531919739
BaseRepresentation
bin1000011000100000…
…0000011101110000
312210211020100012110
42012020000131300
514102030333000
61011142325320
7106522526652
oct20610003560
95724210173
102250246000
11a55229142
12529729840
1329b274a12
14174bda6d2
15d2844850
hex86200770

2250246000 has 160 divisors (see below), whose sum is σ = 7637011200. Its totient is φ = 568454400.

The previous prime is 2250245993. The next prime is 2250246001. The reversal of 2250246000 is 6420522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250246001) 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, 104131 + ... + 123869.

It is an arithmetic number, because the mean of its divisors is an integer number (47731320).

Almost surely, 22250246000 is an apocalyptic number.

2250246000 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 2250246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818505600).

2250246000 is an abundant number, since it is smaller than the sum of its proper divisors (5386765200).

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

2250246000 is a wasteful number, since it uses less digits than its factorization.

2250246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19784 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2250246000 is about 47436.7578993337. The cubic root of 2250246000 is about 1310.4184510962.

Adding to 2250246000 its reverse (6420522), we get a palindrome (2256666522).

The spelling of 2250246000 in words is "two billion, two hundred fifty million, two hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 19739 22800 28500 38000 39478 57000 59217 78956 98695 114000 118434 157912 197390 236868 296085 315824 375041 394780 473736 493475 592170 750082 789560 947472 986950 1125123 1184340 1480425 1500164 1579120 1875205 1973900 2250246 2368680 2467375 2960850 3000328 3750410 3947800 4500492 4737360 4934750 5625615 5921700 6000656 7402125 7500820 7895600 9000984 9376025 9869500 11251230 11843400 14804250 15001640 18001968 18752050 19739000 22502460 23686800 28128075 29608500 30003280 37504100 39478000 45004920 46880125 56256150 59217000 75008200 90009840 93760250 112512300 118434000 140640375 150016400 187520500 225024600 281280750 375041000 450049200 562561500 750082000 1125123000 2250246000