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222113040 = 24351967727
BaseRepresentation
bin11010011110100…
…10110100010000
3120110221111210220
431033102310100
5423330104130
634012353040
75334633612
oct1517226420
9513844726
10222113040
111044168a6
1262475780
133702a446
14216dadb2
1514776410
hexd3d2d10

222113040 has 160 divisors (see below), whose sum is σ = 736619520. Its totient is φ = 55199232.

The previous prime is 222113033. The next prime is 222113051. The reversal of 222113040 is 40311222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305157 + ... + 305883.

It is an arithmetic number, because the mean of its divisors is an integer number (4603872).

Almost surely, 2222113040 is an apocalyptic number.

222113040 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 222113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368309760).

222113040 is an abundant number, since it is smaller than the sum of its proper divisors (514506480).

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

222113040 is a wasteful number, since it uses less digits than its factorization.

222113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 222113040 is about 14903.4573170120. The cubic root of 222113040 is about 605.6076493947.

Adding to 222113040 its reverse (40311222), we get a palindrome (262424262).

The spelling of 222113040 in words is "two hundred twenty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 67 76 80 95 114 120 134 152 190 201 228 240 268 285 304 335 380 402 456 536 570 670 727 760 804 912 1005 1072 1140 1273 1340 1454 1520 1608 2010 2181 2280 2546 2680 2908 3216 3635 3819 4020 4362 4560 5092 5360 5816 6365 7270 7638 8040 8724 10184 10905 11632 12730 13813 14540 15276 16080 17448 19095 20368 21810 25460 27626 29080 30552 34896 38190 41439 43620 48709 50920 55252 58160 61104 69065 76380 82878 87240 97418 101840 110504 138130 146127 152760 165756 174480 194836 207195 221008 243545 276260 292254 305520 331512 389672 414390 487090 552520 584508 663024 730635 779344 828780 925471 974180 1105040 1169016 1461270 1657560 1850942 1948360 2338032 2776413 2922540 3315120 3701884 3896720 4627355 5552826 5845080 7403768 9254710 11105652 11690160 13882065 14807536 18509420 22211304 27764130 37018840 44422608 55528260 74037680 111056520 222113040