Search a number
-
+
222115040 = 2557241691
BaseRepresentation
bin11010011110100…
…11010011100000
3120110221121112222
431033103103200
5423330140130
634012410212
75334642500
oct1517232340
9513847488
10222115040
11104418354
1262476968
133702b324
14216dba00
1514776ce5
hexd3d34e0

222115040 has 144 divisors (see below), whose sum is σ = 626212944. Its totient is φ = 74188800.

The previous prime is 222115037. The next prime is 222115043. The reversal of 222115040 is 40511222.

222115040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222115037) and next prime (222115043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222115043) 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, 321095 + ... + 321785.

It is an arithmetic number, because the mean of its divisors is an integer number (4348701).

Almost surely, 2222115040 is an apocalyptic number.

222115040 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 222115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313106472).

222115040 is an abundant number, since it is smaller than the sum of its proper divisors (404097904).

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

222115040 is a wasteful number, since it uses less digits than its factorization.

222115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 222115040 is about 14903.5244153858. The cubic root of 222115040 is about 605.6094671052.

Adding to 222115040 its reverse (40511222), we get a palindrome (262626262).

The spelling of 222115040 in words is "two hundred twenty-two million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 691 784 820 980 1120 1148 1312 1382 1435 1568 1640 1960 2009 2296 2764 2870 3280 3455 3920 4018 4592 4837 5528 5740 6560 6910 7840 8036 9184 9674 10045 11056 11480 13820 16072 19348 20090 22112 22960 24185 27640 28331 32144 33859 38696 40180 45920 48370 55280 56662 64288 67718 77392 80360 96740 110560 113324 135436 141655 154784 160720 169295 193480 198317 226648 270872 283310 321440 338590 386960 396634 453296 541744 566620 677180 773920 793268 906592 991585 1083488 1133240 1354360 1388219 1586536 1983170 2266480 2708720 2776438 3173072 3966340 4532960 5417440 5552876 6346144 6941095 7932680 11105752 13882190 15865360 22211504 27764380 31730720 44423008 55528760 111057520 222115040