Search a number
-
+
2330000211120 = 2435223122335597
BaseRepresentation
bin100001111001111110110…
…101011011110010110000
322020202010201110111200120
4201321332311123302300
5301133320023223440
64542215354450240
7330223402005651
oct41717665336260
98222121414616
102330000211120
1181916941579a
123176a0433980
1313b94480019a
1480ab6093528
154091e307dd0
hex21e7ed5bcb0

2330000211120 has 160 divisors (see below), whose sum is σ = 7261527232512. Its totient is φ = 618024016896.

The previous prime is 2330000211113. The next prime is 2330000211139. The reversal of 2330000211120 is 211120000332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2330000211120.

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, 65437162 + ... + 65472758.

Almost surely, 22330000211120 is an apocalyptic number.

2330000211120 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 2330000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630763616256).

2330000211120 is an abundant number, since it is smaller than the sum of its proper divisors (4931527021392).

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

2330000211120 is a wasteful number, since it uses less digits than its factorization.

2330000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37059 (or 37053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2330000211120 its reverse (211120000332), we get a palindrome (2541120211452).

The spelling of 2330000211120 in words is "two trillion, three hundred thirty billion, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1223 1338 1784 2230 2446 2676 3345 3568 3669 4460 4892 5352 6115 6690 7338 8920 9784 10704 12230 13380 14676 17840 18345 19568 24460 26760 29352 35597 36690 48920 53520 58704 71194 73380 97840 106791 142388 146760 177985 213582 272729 284776 293520 355970 427164 533955 545458 569552 711940 818187 854328 1067910 1090916 1363645 1423880 1636374 1708656 2135820 2181832 2727290 2847760 3272748 4090935 4271640 4363664 5454580 6545496 7938131 8181870 8543280 10909160 13090992 15876262 16363740 21818320 23814393 31752524 32727480 39690655 43535131 47628786 63505048 65454960 79381310 87070262 95257572 119071965 127010096 130605393 158762620 174140524 190515144 217675655 238143930 261210786 317525240 348281048 381030288 435351310 476287860 522421572 635050480 653026965 696562096 870702620 952575720 1044843144 1306053930 1741405240 1905151440 2089686288 2612107860 3482810480 5224215720 9708334213 10448431440 19416668426 29125002639 38833336852 48541671065 58250005278 77666673704 97083342130 116500010556 145625013195 155333347408 194166684260 233000021112 291250026390 388333368520 466000042224 582500052780 776666737040 1165000105560 2330000211120