Search a number
-
+
22172040 = 23325112509
BaseRepresentation
bin101010010010…
…1000110001000
31112201110022200
41110211012020
521134001130
62111120200
7356313342
oct124450610
945643280
1022172040
1111574200
127513060
134793c67
142d32292
151e2e760
hex1525188

22172040 has 144 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 5364480.

The previous prime is 22172027. The next prime is 22172057. The reversal of 22172040 is 4027122.

It can be written as a sum of positive squares in 2 ways, for example, as 21958596 + 213444 = 4686^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43306 + ... + 43814.

Almost surely, 222172040 is an apocalyptic number.

22172040 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 22172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680550).

22172040 is an abundant number, since it is smaller than the sum of its proper divisors (57189060).

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

22172040 is a wasteful number, since it uses less digits than its factorization.

22172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22172040 is about 4708.7195711786. The cubic root of 22172040 is about 280.9324356415.

Adding to 22172040 its reverse (4027122), we get a palindrome (26199162).

The spelling of 22172040 in words is "twenty-two million, one hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 509 605 660 726 792 968 990 1018 1089 1210 1320 1452 1527 1815 1980 2036 2178 2420 2545 2904 3054 3630 3960 4072 4356 4581 4840 5090 5445 5599 6108 7260 7635 8712 9162 10180 10890 11198 12216 14520 15270 16797 18324 20360 21780 22396 22905 27995 30540 33594 36648 43560 44792 45810 50391 55990 61080 61589 67188 83985 91620 100782 111980 123178 134376 167970 183240 184767 201564 223960 246356 251955 307945 335940 369534 403128 492712 503910 554301 615890 671880 739068 923835 1007820 1108602 1231780 1478136 1847670 2015640 2217204 2463560 2771505 3695340 4434408 5543010 7390680 11086020 22172040