Search a number
-
+
22274120 = 23511233171
BaseRepresentation
bin101010011111…
…0000001001000
31112220122100102
41110332001020
521200232440
62113224532
7360220061
oct124760110
945818312
1022274120
1111633970
127562148
1347cb56b
142d5b568
151e4eb15
hex153e048

22274120 has 128 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 7392000.

The previous prime is 22274107. The next prime is 22274123. The reversal of 22274120 is 2147222.

It is a happy number.

It is a super-2 number, since 2×222741202 = 992272843548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22274092 and 22274101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22274123) 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, 313685 + ... + 313755.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 222274120 is an apocalyptic number.

22274120 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 22274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).

22274120 is an abundant number, since it is smaller than the sum of its proper divisors (37445560).

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

22274120 is a wasteful number, since it uses less digits than its factorization.

22274120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 22274120 is about 4719.5465883917. The cubic root of 22274120 is about 281.3629130168.

The spelling of 22274120 in words is "twenty-two million, two hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 31 40 44 46 55 62 71 88 92 110 115 124 142 155 184 220 230 248 253 284 310 341 355 440 460 506 568 620 682 710 713 781 920 1012 1240 1265 1364 1420 1426 1562 1633 1705 2024 2201 2530 2728 2840 2852 3124 3266 3410 3565 3905 4402 5060 5704 6248 6532 6820 7130 7810 7843 8165 8804 10120 11005 13064 13640 14260 15620 15686 16330 17608 17963 22010 24211 28520 31240 31372 32660 35926 39215 44020 48422 50623 62744 65320 71852 78430 88040 89815 96844 101246 121055 143704 156860 179630 193688 202492 242110 253115 313720 359260 404984 484220 506230 556853 718520 968440 1012460 1113706 2024920 2227412 2784265 4454824 5568530 11137060 22274120