Search a number
-
+
30222212130 = 2345114772169
BaseRepresentation
bin11100001001011000…
…100101110000100010
32220000020102110010000
4130021120211300202
5443343341242010
621514530520430
72116635364425
oct341130456042
986006373100
1030222212130
11118a9718320
125a35436116
132b08428676
141669b6d9bc
15bbd3be7c0
hex709625c22

30222212130 has 160 divisors (see below), whose sum is σ = 90539285760. Its totient is φ = 7170612480.

The previous prime is 30222212099. The next prime is 30222212159. The reversal of 30222212130 is 3121222203.

30222212130 is a `hidden beast` number, since 302 + 22 + 212 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382686 + ... + 454854.

It is an arithmetic number, because the mean of its divisors is an integer number (565870536).

Almost surely, 230222212130 is an apocalyptic number.

30222212130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45269642880).

30222212130 is an abundant number, since it is smaller than the sum of its proper divisors (60317073630).

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

30222212130 is a wasteful number, since it uses less digits than its factorization.

30222212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72246 (or 72237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30222212130 its reverse (3121222203), we get a palindrome (33343434333).

The spelling of 30222212130 in words is "thirty billion, two hundred twenty-two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 81 90 94 99 110 135 141 162 165 198 235 270 282 297 330 405 423 470 495 517 594 705 810 846 891 990 1034 1269 1410 1485 1551 1782 2115 2538 2585 2970 3102 3807 4230 4455 4653 5170 6345 7614 7755 8910 9306 12690 13959 15510 19035 23265 27918 38070 41877 46530 69795 72169 83754 139590 144338 209385 216507 360845 418770 433014 649521 721690 793859 1082535 1299042 1587718 1948563 2165070 2381577 3247605 3391943 3897126 3969295 4763154 5845689 6495210 6783886 7144731 7938590 9742815 10175829 11691378 11907885 14289462 16959715 19485630 20351658 21434193 23815770 29228445 30527487 33919430 35723655 37311373 42868386 50879145 58456890 61054974 64302579 71447310 74622746 91582461 101758290 107170965 111934119 128605158 152637435 183164922 186556865 214341930 223868238 274747383 305274870 321512895 335802357 373113730 457912305 549494766 559670595 643025790 671604714 915824610 1007407071 1119341190 1373736915 1679011785 2014814142 2747473830 3022221213 3358023570 5037035355 6044442426 10074070710 15111106065 30222212130