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222733980 = 223257434111
BaseRepresentation
bin11010100011010…
…10011010011100
3120112010001120200
431101222122130
5424004441410
634033543500
75343131130
oct1521523234
9515101520
10222733980
11104800377
1262714b90
13371b6c71
142181d3c0
151484a3c0
hexd46a69c

222733980 has 144 divisors (see below), whose sum is σ = 790293504. Its totient is φ = 49714560.

The previous prime is 222733919. The next prime is 222733993. The reversal of 222733980 is 89337222.

222733980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2227339802 = 99220851693280800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52125 + ... + 56235.

Almost surely, 2222733980 is an apocalyptic number.

222733980 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 222733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395146752).

222733980 is an abundant number, since it is smaller than the sum of its proper divisors (567559524).

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

222733980 is a wasteful number, since it uses less digits than its factorization.

222733980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 222733980 is about 14924.2748567560. The cubic root of 222733980 is about 606.1714706091.

The spelling of 222733980 in words is "two hundred twenty-two million, seven hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1806 1935 2580 2709 3010 3612 3870 4111 4515 5418 6020 7740 8222 9030 10836 12333 13545 16444 18060 20555 24666 27090 28777 36999 41110 49332 54180 57554 61665 73998 82220 86331 115108 123330 143885 147996 172662 176773 184995 246660 258993 287770 345324 353546 369990 431655 517986 530319 575540 707092 739980 863310 883865 1035972 1060638 1237411 1294965 1590957 1726620 1767730 2121276 2474822 2589930 2651595 3181914 3535460 3712233 4949644 5179860 5303190 6187055 6363828 7424466 7954785 10606380 11136699 12374110 14848932 15909570 18561165 22273398 24748220 31819140 37122330 44546796 55683495 74244660 111366990 222733980