Search a number
-
+
22421443440 = 2435118492971
BaseRepresentation
bin10100111000011011…
…000001001101110000
32010212120220100012010
4110320123001031300
5331404342142230
614144505202520
71422424060524
oct247033011560
963776810163
1022421443440
119566358350
124418a90440
1321642609c6
141129b27d84
158b362a9b0
hex5386c1370

22421443440 has 80 divisors (see below), whose sum is σ = 75825254016. Its totient is φ = 5435500800.

The previous prime is 22421443399. The next prime is 22421443489. The reversal of 22421443440 is 4434412422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224214434402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22421443398 and 22421443407.

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, 4243846 + ... + 4249125.

Almost surely, 222421443440 is an apocalyptic number.

22421443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22421443440 is an abundant number, since it is smaller than the sum of its proper divisors (53403810576).

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

22421443440 is a wasteful number, since it uses less digits than its factorization.

22421443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492998 (or 8492992 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22421443440 its reverse (4434412422), we get a palindrome (26855855862).

The spelling of 22421443440 in words is "twenty-two billion, four hundred twenty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8492971 16985942 25478913 33971884 42464855 50957826 67943768 84929710 93422681 101915652 127394565 135887536 169859420 186845362 203831304 254789130 280268043 339718840 373690724 407662608 467113405 509578260 560536086 679437680 747381448 934226810 1019156520 1121072172 1401340215 1494762896 1868453620 2038313040 2242144344 2802680430 3736907240 4484288688 5605360860 7473814480 11210721720 22421443440