Search a number
-
+
22130680 = 23511135373
BaseRepresentation
bin101010001101…
…0111111111000
31112122100120211
41110122333320
521131140210
62110200504
7356051635
oct124327770
945570524
1022130680
1111546120
1274b3134
13477b1a0
142d2118c
151e2238a
hex151aff8

22130680 has 128 divisors (see below), whose sum is σ = 60419520. Its totient is φ = 7188480.

The previous prime is 22130671. The next prime is 22130737. The reversal of 22130680 is 8603122.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 303124 + ... + 303196.

Almost surely, 222130680 is an apocalyptic number.

22130680 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 22130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209760).

22130680 is an abundant number, since it is smaller than the sum of its proper divisors (38288840).

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

22130680 is a wasteful number, since it uses less digits than its factorization.

22130680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22130680 is about 4704.3256689987. The cubic root of 22130680 is about 280.7576419523.

The spelling of 22130680 in words is "twenty-two million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 53 55 65 73 88 104 106 110 130 143 146 212 220 260 265 286 292 365 424 440 520 530 572 583 584 689 715 730 803 949 1060 1144 1166 1378 1430 1460 1606 1898 2120 2332 2756 2860 2915 2920 3212 3445 3796 3869 4015 4664 4745 5512 5720 5830 6424 6890 7579 7592 7738 8030 9490 10439 11660 13780 15158 15476 16060 18980 19345 20878 23320 27560 30316 30952 32120 37895 37960 38690 41756 42559 50297 52195 60632 75790 77380 83512 85118 100594 104390 151580 154760 170236 201188 208780 212795 251485 303160 340472 402376 417560 425590 502970 553267 851180 1005940 1106534 1702360 2011880 2213068 2766335 4426136 5532670 11065340 22130680