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222023040 = 2735115637
BaseRepresentation
bin11010011101111…
…00110110000000
3120110202221100120
431032330312000
5423314214130
634010420240
75334110331
oct1516746600
9513687316
10222023040
11104365218
1262431680
1336cc84a5
14216b6288
1514759910
hexd3bcd80

222023040 has 64 divisors (see below), whose sum is σ = 707704560. Its totient is φ = 59205632.

The previous prime is 222023033. The next prime is 222023047. The reversal of 222023040 is 40320222.

222023040 is digitally balanced in base 2 and base 3, because in such bases 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 (222023033) and next prime (222023047).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2220230403 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222023047) 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, 55899 + ... + 59738.

Almost surely, 2222023040 is an apocalyptic number.

222023040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222023040 is an abundant number, since it is smaller than the sum of its proper divisors (485681520).

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

222023040 is a wasteful number, since it uses less digits than its factorization.

222023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115659 (or 115647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 222023040 is about 14900.4375774673. The cubic root of 222023040 is about 605.5258411228.

Adding to 222023040 its reverse (40320222), we get a palindrome (262343262).

The spelling of 222023040 in words is "two hundred twenty-two million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 115637 231274 346911 462548 578185 693822 925096 1156370 1387644 1734555 1850192 2312740 2775288 3469110 3700384 4625480 5550576 6938220 7400768 9250960 11101152 13876440 14801536 18501920 22202304 27752880 37003840 44404608 55505760 74007680 111011520 222023040