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22138420 = 225171923149
BaseRepresentation
bin101010001110…
…0111000110100
31112122202012111
41110130320310
521131412140
62110300404
7356113333
oct124347064
945582174
1022138420
1111550a17
1274b7704
134781875
142d23d1a
151e247ea
hex151ce34

22138420 has 96 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 7501824.

The previous prime is 22138411. The next prime is 22138423. The reversal of 22138420 is 2483122.

It is a junction number, because it is equal to n+sod(n) for n = 22138391 and 22138400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148506 + ... + 148654.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 222138420 is an apocalyptic number.

22138420 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 22138420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

22138420 is an abundant number, since it is smaller than the sum of its proper divisors (32293580).

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

22138420 is a wasteful number, since it uses less digits than its factorization.

22138420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22138420 is about 4705.1482442108. The cubic root of 22138420 is about 280.7903689307.

The spelling of 22138420 in words is "twenty-two million, one hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 23 34 38 46 68 76 85 92 95 115 149 170 190 230 298 323 340 380 391 437 460 596 646 745 782 874 1292 1490 1564 1615 1748 1955 2185 2533 2831 2980 3230 3427 3910 4370 5066 5662 6460 6854 7429 7820 8740 10132 11324 12665 13708 14155 14858 17135 25330 28310 29716 34270 37145 48127 50660 56620 58259 65113 68540 74290 96254 116518 130226 148580 192508 233036 240635 260452 291295 325565 481270 582590 651130 962540 1106921 1165180 1302260 2213842 4427684 5534605 11069210 22138420