Search a number
-
+
2133220020 = 2235476112401
BaseRepresentation
bin111111100100110…
…0101101010110100
312111200000210201220
41333021211222310
513332101020040
6551402150340
7103602033231
oct17711455264
95450023656
102133220020
119a5168858
124b64b23b0
1327cc4c689
14163456788
15c742a2d0
hex7f265ab4

2133220020 has 96 divisors (see below), whose sum is σ = 6200603136. Its totient is φ = 547584000.

The previous prime is 2133220009. The next prime is 2133220087. The reversal of 2133220020 is 200223312.

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

It is a congruent number.

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, 165820 + ... + 178220.

It is an arithmetic number, because the mean of its divisors is an integer number (64589616).

Almost surely, 22133220020 is an apocalyptic number.

2133220020 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 2133220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100301568).

2133220020 is an abundant number, since it is smaller than the sum of its proper divisors (4067383116).

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

2133220020 is a wasteful number, since it uses less digits than its factorization.

2133220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12521 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2133220020 is about 46186.7948660653. The cubic root of 2133220020 is about 1287.2963868164.

Adding to 2133220020 its reverse (200223312), we get a palindrome (2333443332).

The spelling of 2133220020 in words is "two billion, one hundred thirty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 61 94 122 141 183 188 235 244 282 305 366 470 564 610 705 732 915 940 1220 1410 1830 2820 2867 3660 5734 8601 11468 12401 14335 17202 24802 28670 34404 37203 43005 49604 57340 62005 74406 86010 124010 148812 172020 186015 248020 372030 582847 744060 756461 1165694 1512922 1748541 2269383 2331388 2914235 3025844 3497082 3782305 4538766 5828470 6994164 7564610 8742705 9077532 11346915 11656940 15129220 17485410 22693830 34970820 35553667 45387660 71107334 106661001 142214668 177768335 213322002 355536670 426644004 533305005 711073340 1066610010 2133220020