Search a number
-
+
22303343120 = 2451752131477
BaseRepresentation
bin10100110001011000…
…100000001000010000
32010120100200020000012
4110301120200020100
5331134123434440
614125050014052
71416461200652
oct246130401020
963510606005
1022303343120
119505723883
1243a5417328
132145950666
1411181846d2
158a809ce65
hex531620210

22303343120 has 80 divisors (see below), whose sum is σ = 55012715568. Its totient is φ = 8380170240.

The previous prime is 22303343119. The next prime is 22303343141. The reversal of 22303343120 is 2134330322.

It can be written as a sum of positive squares in 8 ways, for example, as 55830784 + 22247512336 = 7472^2 + 149156^2 .

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

It is a super-2 number, since 2×223033431202 (a number of 21 digits) contains 22 as substring.

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, 692822 + ... + 724298.

Almost surely, 222303343120 is an apocalyptic number.

22303343120 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 22303343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506357784).

22303343120 is an abundant number, since it is smaller than the sum of its proper divisors (32709372448).

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

22303343120 is a wasteful number, since it uses less digits than its factorization.

22303343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32028 (or 32022 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 22303343120 its reverse (2134330322), we get a palindrome (24437673442).

The spelling of 22303343120 in words is "twenty-two billion, three hundred three million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 521 680 1042 1360 2084 2605 4168 5210 8336 8857 10420 17714 20840 31477 35428 41680 44285 62954 70856 88570 125908 141712 157385 177140 251816 314770 354280 503632 535109 629540 708560 1070218 1259080 2140436 2518160 2675545 4280872 5351090 8561744 10702180 16399517 21404360 32799034 42808720 65598068 81997585 131196136 163995170 262392272 278791789 327990340 557583578 655980680 1115167156 1311961360 1393958945 2230334312 2787917890 4460668624 5575835780 11151671560 22303343120