Search a number
-
+
2240121420 = 2234510113691
BaseRepresentation
bin1000010110000101…
…1000101001001100
312210010011221220000
42011201120221030
514041432341140
61010141324300
7106340501145
oct20541305114
95703157800
102240121420
11a4a543419
12526266690
1329913b544
14173722acc
15d19e4a30
hex85858a4c

2240121420 has 120 divisors (see below), whose sum is σ = 7097439888. Its totient is φ = 591408000.

The previous prime is 2240121419. The next prime is 2240121431. The reversal of 2240121420 is 241210422.

2240121420 is a `hidden beast` number, since 2 + 240 + 1 + 2 + 1 + 420 = 666.

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 = 2240121393 and 2240121402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156775 + ... + 170465.

Almost surely, 22240121420 is an apocalyptic number.

2240121420 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 2240121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548719944).

2240121420 is an abundant number, since it is smaller than the sum of its proper divisors (4857318468).

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

2240121420 is a wasteful number, since it uses less digits than its factorization.

2240121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813 (or 13802 counting only the distinct ones).

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

The square root of 2240121420 is about 47329.9209802848. The cubic root of 2240121420 is about 1308.4501648906.

Adding to 2240121420 its reverse (241210422), we get a palindrome (2481331842).

The spelling of 2240121420 in words is "two billion, two hundred forty million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 810 909 1010 1212 1515 1620 1818 2020 2727 3030 3636 4545 5454 6060 8181 9090 10908 13635 13691 16362 18180 27270 27382 32724 40905 41073 54540 54764 68455 81810 82146 123219 136910 163620 164292 205365 246438 273820 369657 410730 492876 616095 739314 821460 1108971 1232190 1382791 1478628 1848285 2217942 2464380 2765582 3696570 4148373 4435884 5531164 5544855 6913955 7393140 8296746 11089710 12445119 13827910 16593492 20741865 22179420 24890238 27655820 37335357 41483730 49780476 62225595 74670714 82967460 112006071 124451190 149341428 186676785 224012142 248902380 373353570 448024284 560030355 746707140 1120060710 2240121420