Search a number
-
+
222021120 = 293528909
BaseRepresentation
bin11010011101111…
…00011000000000
3120110202211201110
431032330120000
5423314133440
634010403320
75334101616
oct1516743000
9513684643
10222021120
11104363832
1262430540
1336cc7659
14216b56b6
1514759080
hexd3bc600

222021120 has 80 divisors (see below), whose sum is σ = 709798320. Its totient is φ = 59203584.

The previous prime is 222021113. The next prime is 222021131. The reversal of 222021120 is 21120222.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 222021096 and 222021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 22134.

It is an arithmetic number, because the mean of its divisors is an integer number (8872479).

Almost surely, 2222021120 is an apocalyptic number.

222021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222021120 is an abundant number, since it is smaller than the sum of its proper divisors (487777200).

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

222021120 is an equidigital number, since it uses as much as digits as its factorization.

222021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28935 (or 28919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 222021120 is about 14900.3731496899. The cubic root of 222021120 is about 605.5240956389.

Adding to 222021120 its reverse (21120222), we get a palindrome (243141342).

The spelling of 222021120 in words is "two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 28909 57818 86727 115636 144545 173454 231272 289090 346908 433635 462544 578180 693816 867270 925088 1156360 1387632 1734540 1850176 2312720 2775264 3469080 3700352 4625440 5550528 6938160 7400704 9250880 11101056 13876320 14801408 18501760 22202112 27752640 37003520 44404224 55505280 74007040 111010560 222021120