Search a number
-
+
222056960 = 295127683
BaseRepresentation
bin11010011110001…
…01001000000000
3120110211122212212
431033011020000
5423321310320
634011241252
75334311246
oct1517051000
9513748785
10222056960
11104388754
1262449228
133700aa68
14216c4796
15147649c5
hexd3c5200

222056960 has 80 divisors (see below), whose sum is σ = 537394176. Its totient is φ = 87994368.

The previous prime is 222056957. The next prime is 222056969. The reversal of 222056960 is 69650222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222056969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324779 + ... + 325461.

Almost surely, 2222056960 is an apocalyptic number.

222056960 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 222056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088).

222056960 is an abundant number, since it is smaller than the sum of its proper divisors (315337216).

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

222056960 is an equidigital number, since it uses as much as digits as its factorization.

222056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 222056960 is about 14901.5757556038. The cubic root of 222056960 is about 605.5566763470.

The spelling of 222056960 in words is "two hundred twenty-two million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 683 1016 1270 1280 1366 2032 2540 2560 2732 3415 4064 5080 5464 6830 8128 10160 10928 13660 16256 20320 21856 27320 32512 40640 43712 54640 65024 81280 86741 87424 109280 162560 173482 174848 218560 325120 346964 349696 433705 437120 693928 867410 874240 1387856 1734820 1748480 2775712 3469640 5551424 6939280 11102848 13878560 22205696 27757120 44411392 55514240 111028480 222056960