Search a number
-
+
22525440 = 29357419
BaseRepresentation
bin101010111101…
…1011000000000
31120101102002120
41111323120000
521231303230
62122444240
7362314560
oct125733000
946342076
1022525440
1111795773
127663680
134888a82
142dc4da0
151e9e310
hex157b600

22525440 has 160 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 5136384.

The previous prime is 22525439. The next prime is 22525457. The reversal of 22525440 is 4452522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22525440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53551 + ... + 53969.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 222525440 is an apocalyptic number.

22525440 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 22525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

22525440 is an abundant number, since it is smaller than the sum of its proper divisors (59969280).

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

22525440 is an equidigital number, since it uses as much as digits as its factorization.

22525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 22525440 is about 4746.0973441344. The cubic root of 22525440 is about 282.4171683956.

Adding to 22525440 its reverse (4452522), we get a palindrome (26977962).

The spelling of 22525440 in words is "twenty-two million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 419 420 448 480 512 560 640 672 768 838 840 896 960 1120 1257 1280 1344 1536 1676 1680 1792 1920 2095 2240 2514 2560 2688 2933 3352 3360 3584 3840 4190 4480 5028 5376 5866 6285 6704 6720 7680 8380 8799 8960 10056 10752 11732 12570 13408 13440 14665 16760 17598 17920 20112 23464 25140 26816 26880 29330 33520 35196 40224 43995 46928 50280 53632 53760 58660 67040 70392 80448 87990 93856 100560 107264 117320 134080 140784 160896 175980 187712 201120 214528 234640 268160 281568 321792 351960 375424 402240 469280 536320 563136 643584 703920 750848 804480 938560 1072640 1126272 1407840 1501696 1608960 1877120 2252544 2815680 3217920 3754240 4505088 5631360 7508480 11262720 22525440