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4422240 = 253253783
BaseRepresentation
bin10000110111101001100000
322022200011200
4100313221200
52113002430
6234441200
752405554
oct20675140
98280150
104422240
112550549
121593200
13bbab14
14831864
155c5460
hex437a60

4422240 has 144 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1133568.

The previous prime is 4422221. The next prime is 4422241. The reversal of 4422240 is 422244.

4422240 is a `hidden beast` number, since 4 + 422 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53239 + ... + 53321.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 24422240 is an apocalyptic number.

4422240 is a gapful number since it is divisible by the number (40) 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 4422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4422240 is an abundant number, since it is smaller than the sum of its proper divisors (11263248).

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

4422240 is a wasteful number, since it uses less digits than its factorization.

4422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4422240 is about 2102.9122663583. The cubic root of 4422240 is about 164.1398766984.

Adding to 4422240 its reverse (422244), we get a palindrome (4844484).

The spelling of 4422240 in words is "four million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 83 90 96 111 120 144 148 160 166 180 185 222 240 249 288 296 332 333 360 370 415 444 480 498 555 592 664 666 720 740 747 830 888 996 1110 1184 1245 1328 1332 1440 1480 1494 1660 1665 1776 1992 2220 2490 2656 2664 2960 2988 3071 3320 3330 3552 3735 3984 4440 4980 5328 5920 5976 6142 6640 6660 7470 7968 8880 9213 9960 10656 11952 12284 13280 13320 14940 15355 17760 18426 19920 23904 24568 26640 27639 29880 30710 36852 39840 46065 49136 53280 55278 59760 61420 73704 92130 98272 110556 119520 122840 138195 147408 184260 221112 245680 276390 294816 368520 442224 491360 552780 737040 884448 1105560 1474080 2211120 4422240