Search a number
-
+
22230133020 = 2233549183843
BaseRepresentation
bin10100101101000001…
…001110100100011100
32010101020220202122000
4110231001032210130
5331011403224040
614113512522300
71414612004304
oct245501164434
963336822560
1022230133020
11947836aa67
1243849b0390
132133729984
14110c568604
158a193b130
hex52d04e91c

22230133020 has 96 divisors (see below), whose sum is σ = 69302096640. Its totient is φ = 5915891520.

The previous prime is 22230133007. The next prime is 22230133043. The reversal of 22230133020 is 2033103222.

It is a happy number.

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 = 22230132984 and 22230133002.

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, 223219 + ... + 307061.

It is an arithmetic number, because the mean of its divisors is an integer number (721896840).

Almost surely, 222230133020 is an apocalyptic number.

22230133020 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 22230133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34651048320).

22230133020 is an abundant number, since it is smaller than the sum of its proper divisors (47071963620).

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

22230133020 is a wasteful number, since it uses less digits than its factorization.

22230133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84352 (or 84344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22230133020 its reverse (2033103222), we get a palindrome (24263236242).

The spelling of 22230133020 in words is "twenty-two billion, two hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 491 540 982 1473 1964 2455 2946 4419 4910 5892 7365 8838 9820 13257 14730 17676 22095 26514 29460 44190 53028 66285 83843 88380 132570 167686 251529 265140 335372 419215 503058 754587 838430 1006116 1257645 1509174 1676860 2263761 2515290 3018348 3772935 4527522 5030580 7545870 9055044 11318805 15091740 22637610 41166913 45275220 82333826 123500739 164667652 205834565 247001478 370502217 411669130 494002956 617503695 741004434 823338260 1111506651 1235007390 1482008868 1852511085 2223013302 2470014780 3705022170 4446026604 5557533255 7410044340 11115066510 22230133020