Search a number
-
+
2333100020 = 2254311512357
BaseRepresentation
bin1000101100010000…
…0100011111110100
320000121010202112212
42023010010133310
514234233200040
61023302232552
7111550010606
oct21304043764
96017122485
102333100020
11a97a79639
12551425758
132b2494174
14181c07176
15d9c5dd65
hex8b1047f4

2333100020 has 48 divisors (see below), whose sum is σ = 5019936768. Its totient is φ = 910358400.

The previous prime is 2333100019. The next prime is 2333100061. The reversal of 2333100020 is 200013332.

It is a junction number, because it is equal to n+sod(n) for n = 2333099968 and 2333100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988682 + ... + 991038.

It is an arithmetic number, because the mean of its divisors is an integer number (104582016).

Almost surely, 22333100020 is an apocalyptic number.

2333100020 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 2333100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509968384).

2333100020 is an abundant number, since it is smaller than the sum of its proper divisors (2686836748).

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

2333100020 is a wasteful number, since it uses less digits than its factorization.

2333100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2333100020 is about 48302.1740711534. The cubic root of 2333100020 is about 1326.3081932014.

Adding to 2333100020 its reverse (200013332), we get a palindrome (2533113352).

The spelling of 2333100020 in words is "two billion, three hundred thirty-three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1151 2302 2357 4604 4714 5755 9428 11510 11785 23020 23570 47140 49493 98986 101351 197972 202702 247465 405404 494930 506755 989860 1013510 2027020 2712907 5425814 10851628 13564535 27129070 54258140 116655001 233310002 466620004 583275005 1166550010 2333100020