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222057440 = 25511281449
BaseRepresentation
bin11010011110001…
…01001111100000
3120110211200112122
431033011033200
5423321314230
634011243412
75334312533
oct1517051740
9513750478
10222057440
11104389050
1262449568
133700b047
14216c4a1a
1514764be5
hexd3c53e0

222057440 has 96 divisors (see below), whose sum is σ = 575618400. Its totient is φ = 80281600.

The previous prime is 222057419. The next prime is 222057449. The reversal of 222057440 is 44750222.

222057440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222057449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494336 + ... + 494784.

It is an arithmetic number, because the mean of its divisors is an integer number (5996025).

Almost surely, 2222057440 is an apocalyptic number.

222057440 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 222057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287809200).

222057440 is an abundant number, since it is smaller than the sum of its proper divisors (353560960).

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

222057440 is a wasteful number, since it uses less digits than its factorization.

222057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 222057440 is about 14901.5918612744. The cubic root of 222057440 is about 605.5571126720.

The spelling of 222057440 in words is "two hundred twenty-two million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 281 352 440 449 562 880 898 1124 1405 1760 1796 2245 2248 2810 3091 3592 4490 4496 4939 5620 6182 7184 8980 8992 9878 11240 12364 14368 15455 17960 19756 22480 24695 24728 30910 35920 39512 44960 49390 49456 61820 71840 79024 98780 98912 123640 126169 158048 197560 247280 252338 395120 494560 504676 630845 790240 1009352 1261690 1387859 2018704 2523380 2775718 4037408 5046760 5551436 6939295 10093520 11102872 13878590 20187040 22205744 27757180 44411488 55514360 111028720 222057440