Search a number
-
+
440022420220 = 225314316679901
BaseRepresentation
bin1100110011100110110…
…00010100101011111100
31120001202220210222020211
412121303120110223330
524202131214421340
6534050555322204
743535110600615
oct6316330245374
91501686728224
10440022420220
1115a681204049
1271342750364
13326562407b6
1417423728c0c
15b6a535d5ea
hex6673614afc

440022420220 has 96 divisors (see below), whose sum is σ = 976721872896. Its totient is φ = 166253472000.

The previous prime is 440022420217. The next prime is 440022420241. The reversal of 440022420220 is 22024220044.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 440022420191 and 440022420200.

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, 44437270 + ... + 44447170.

It is an arithmetic number, because the mean of its divisors is an integer number (10174186176).

Almost surely, 2440022420220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440022420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488360936448).

440022420220 is an abundant number, since it is smaller than the sum of its proper divisors (536699452676).

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

440022420220 is a wasteful number, since it uses less digits than its factorization.

440022420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 440022420220 its reverse (22024220044), we get a palindrome (462046640264).

The spelling of 440022420220 in words is "four hundred forty billion, twenty-two million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 860 1333 1667 2666 3334 5332 6665 6668 8335 9901 13330 16670 19802 26660 33340 39604 49505 51677 71681 99010 103354 143362 198020 206708 258385 286724 306931 358405 425743 516770 613862 716810 851486 1033540 1227724 1433620 1534655 1702972 2128715 2222111 3069310 4257430 4444222 6138620 8514860 8888444 11110555 13198033 16504967 22221110 26396066 33009934 44442220 52792132 65990165 66019868 82524835 131980330 165049670 263960660 330099340 511653977 709713581 1023307954 1419427162 2046615908 2558269885 2838854324 3548567905 5116539770 7097135810 10233079540 14194271620 22001121011 44002242022 88004484044 110005605055 220011210110 440022420220