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22148940 = 22351137907
BaseRepresentation
bin101010001111…
…1011101001100
31112200021122010
41110133131030
521132231230
62110421220
7356156112
oct124373514
945607563
1022148940
1111558910
127501810
1347865a8
142d27ab2
151e279b0
hex151f74c

22148940 has 96 divisors (see below), whose sum is σ = 69560064. Its totient is φ = 5218560.

The previous prime is 22148939. The next prime is 22148963. The reversal of 22148940 is 4984122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22148898 and 22148907.

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, 23967 + ... + 24873.

It is an arithmetic number, because the mean of its divisors is an integer number (724584).

Almost surely, 222148940 is an apocalyptic number.

22148940 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 22148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34780032).

22148940 is an abundant number, since it is smaller than the sum of its proper divisors (47411124).

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

22148940 is a wasteful number, since it uses less digits than its factorization.

22148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22148940 is about 4706.2660358293. The cubic root of 22148940 is about 280.8348383330.

The spelling of 22148940 in words is "twenty-two million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 907 1110 1221 1628 1814 2035 2220 2442 2721 3628 4070 4535 4884 5442 6105 8140 9070 9977 10884 12210 13605 18140 19954 24420 27210 29931 33559 39908 49885 54420 59862 67118 99770 100677 119724 134236 149655 167795 199540 201354 299310 335590 369149 402708 503385 598620 671180 738298 1006770 1107447 1476596 1845745 2013540 2214894 3691490 4429788 5537235 7382980 11074470 22148940