Search a number
-
+
2121440220 = 223451309531
BaseRepresentation
bin111111001110010…
…1001101111011100
312110211212022220000
41332130221233130
513321042041340
6550301454300
7103366641624
oct17634515734
95424768800
102121440220
11999552489
124b2571390
1327a686993
14161a6b884
15c639ed30
hex7e729bdc

2121440220 has 60 divisors (see below), whose sum is σ = 6655041624. Its totient is φ = 565716960.

The previous prime is 2121440179. The next prime is 2121440227. The reversal of 2121440220 is 220441212.

2121440220 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 440 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121440193 and 2121440202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121440227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 653146 + ... + 656385.

Almost surely, 22121440220 is an apocalyptic number.

2121440220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121440220 is an abundant number, since it is smaller than the sum of its proper divisors (4533601404).

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

2121440220 is a wasteful number, since it uses less digits than its factorization.

2121440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309552 (or 1309541 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2121440220 is about 46059.0948673549. The cubic root of 2121440220 is about 1284.9224962970.

Adding to 2121440220 its reverse (220441212), we get a palindrome (2341881432).

The spelling of 2121440220 in words is "two billion, one hundred twenty-one million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1309531 2619062 3928593 5238124 6547655 7857186 11785779 13095310 15714372 19642965 23571558 26190620 35357337 39285930 47143116 58928895 70714674 78571860 106072011 117857790 141429348 176786685 212144022 235715580 353573370 424288044 530360055 707146740 1060720110 2121440220