Search a number
-
+
2302246920 = 2335199229421
BaseRepresentation
bin1000100100111001…
…1000000000001000
312221110002021001110
42021032120000020
514203333400140
61020241050320
7111023530101
oct21116300010
95843067043
102302246920
11a81616206
125430269a0
132a8c80aac
1417ba953a8
15d71b7380
hex89398008

2302246920 has 128 divisors (see below), whose sum is σ = 6988320000. Its totient is φ = 606735360.

The previous prime is 2302246909. The next prime is 2302246931. The reversal of 2302246920 is 296422032.

It is an interprime number because it is at equal distance from previous prime (2302246909) and next prime (2302246931).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5468310 + ... + 5468730.

It is an arithmetic number, because the mean of its divisors is an integer number (54596250).

Almost surely, 22302246920 is an apocalyptic number.

2302246920 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 2302246920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494160000).

2302246920 is an abundant number, since it is smaller than the sum of its proper divisors (4686073080).

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

2302246920 is a wasteful number, since it uses less digits than its factorization.

2302246920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2302246920 is about 47981.7352749981. The cubic root of 2302246920 is about 1320.4358294547.

Adding to 2302246920 its reverse (296422032), we get a palindrome (2598668952).

The spelling of 2302246920 in words is "two billion, three hundred two million, two hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 229 398 421 458 597 687 796 842 916 995 1145 1194 1263 1374 1592 1684 1832 1990 2105 2290 2388 2526 2748 2985 3368 3435 3980 4210 4580 4776 5052 5496 5970 6315 6870 7960 8420 9160 10104 11940 12630 13740 16840 23880 25260 27480 45571 50520 83779 91142 96409 136713 167558 182284 192818 227855 251337 273426 289227 335116 364568 385636 418895 455710 482045 502674 546852 578454 670232 683565 771272 837790 911420 964090 1005348 1093704 1156908 1256685 1367130 1446135 1675580 1822840 1928180 2010696 2313816 2513370 2734260 2892270 3351160 3856360 5026740 5468520 5784540 10053480 11569080 19185391 38370782 57556173 76741564 95926955 115112346 153483128 191853910 230224692 287780865 383707820 460449384 575561730 767415640 1151123460 2302246920