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22230033120 = 253355145841
BaseRepresentation
bin10100101101000000…
…110110001011100000
32010101020201200121000
4110231000312023200
5331011342024440
614113510432000
71414611110121
oct245500661340
963336650530
1022230033120
1194783019a9
124384962600
1321336c3369
14110c540048
158a191b730
hex52d0362e0

22230033120 has 96 divisors (see below), whose sum is σ = 77805131040. Its totient is φ = 5928007680.

The previous prime is 22230033101. The next prime is 22230033127. The reversal of 22230033120 is 2133003222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 22230033093 and 22230033102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230033127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2568601 + ... + 2577240.

It is an arithmetic number, because the mean of its divisors is an integer number (810470115).

Almost surely, 222230033120 is an apocalyptic number.

22230033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22230033120 is an abundant number, since it is smaller than the sum of its proper divisors (55575097920).

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

22230033120 is a wasteful number, since it uses less digits than its factorization.

22230033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145865 (or 5145851 counting only the distinct ones).

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

Adding to 22230033120 its reverse (2133003222), we get a palindrome (24363036342).

The spelling of 22230033120 in words is "twenty-two billion, two hundred thirty million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5145841 10291682 15437523 20583364 25729205 30875046 41166728 46312569 51458410 61750092 77187615 82333456 92625138 102916820 123500184 138937707 154375230 164666912 185250276 205833640 231562845 247000368 277875414 308750460 370500552 411667280 463125690 494000736 555750828 617500920 694688535 741001104 823334560 926251380 1111501656 1235001840 1389377070 1482002208 1852502760 2223003312 2470003680 2778754140 3705005520 4446006624 5557508280 7410011040 11115016560 22230033120