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22146740 = 22571173197
BaseRepresentation
bin101010001111…
…0111010110100
31112200011121122
41110132322310
521132143430
62110403112
7356146520
oct124367264
945604548
1022146740
11115571a0
127500498
1347855a5
142d26d80
151e26ee5
hex151eeb4

22146740 has 96 divisors (see below), whose sum is σ = 59076864. Its totient is φ = 6773760.

The previous prime is 22146737. The next prime is 22146743. The reversal of 22146740 is 4764122.

It is an interprime number because it is at equal distance from previous prime (22146737) and next prime (22146743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22146743) 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, 112322 + ... + 112518.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 222146740 is an apocalyptic number.

22146740 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 22146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538432).

22146740 is an abundant number, since it is smaller than the sum of its proper divisors (36930124).

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

22146740 is a wasteful number, since it uses less digits than its factorization.

22146740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 22146740 is about 4706.0322990817. The cubic root of 22146740 is about 280.8255398127.

The spelling of 22146740 in words is "twenty-two million, one hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 197 220 292 308 365 385 394 511 730 770 788 803 985 1022 1379 1460 1540 1606 1970 2044 2167 2555 2758 3212 3940 4015 4334 5110 5516 5621 6895 8030 8668 10220 10835 11242 13790 14381 15169 16060 21670 22484 27580 28105 28762 30338 43340 56210 57524 60676 71905 75845 100667 112420 143810 151690 158191 201334 287620 303380 316382 402668 503335 632764 790955 1006670 1107337 1581910 2013340 2214674 3163820 4429348 5536685 11073370 22146740