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2250142320 = 243541347659
BaseRepresentation
bin1000011000011110…
…0111001001110000
312210211001001222110
42012013213021300
514102014023240
61011140205320
7106521615456
oct20607471160
95724031873
102250142320
11a55168258
12529699840
1329b23977a
14174bb09d6
15d2823c80
hex861e7270

2250142320 has 160 divisors (see below), whose sum is σ = 7177040640. Its totient is φ = 582830080.

The previous prime is 2250142283. The next prime is 2250142327. The reversal of 2250142320 is 232410522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250142327) 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, 3414151 + ... + 3414809.

It is an arithmetic number, because the mean of its divisors is an integer number (44856504).

Almost surely, 22250142320 is an apocalyptic number.

2250142320 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 2250142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588520320).

2250142320 is an abundant number, since it is smaller than the sum of its proper divisors (4926898320).

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

2250142320 is a wasteful number, since it uses less digits than its factorization.

2250142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

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

The square root of 2250142320 is about 47435.6650633255. The cubic root of 2250142320 is about 1310.3983249601.

Adding to 2250142320 its reverse (232410522), we get a palindrome (2482552842).

The spelling of 2250142320 in words is "two billion, two hundred fifty million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 347 410 492 615 656 659 694 820 984 1041 1230 1318 1388 1640 1735 1968 1977 2082 2460 2636 2776 3280 3295 3470 3954 4164 4920 5205 5272 5552 6590 6940 7908 8328 9840 9885 10410 10544 13180 13880 14227 15816 16656 19770 20820 26360 27019 27760 28454 31632 39540 41640 42681 52720 54038 56908 71135 79080 81057 83280 85362 108076 113816 135095 142270 158160 162114 170724 213405 216152 227632 228673 270190 284540 324228 341448 405285 426810 432304 457346 540380 569080 648456 682896 686019 810570 853620 914692 1080760 1138160 1143365 1296912 1372038 1621140 1707240 1829384 2161520 2286730 2744076 3242280 3414480 3430095 3658768 4573460 5488152 6484560 6860190 9146920 9375593 10976304 13720380 18293840 18751186 27440760 28126779 37502372 46877965 54881520 56253558 75004744 93755930 112507116 140633895 150009488 187511860 225014232 281267790 375023720 450028464 562535580 750047440 1125071160 2250142320