Search a number
-
+
332233020 = 223257263677
BaseRepresentation
bin10011110011010…
…111100100111100
3212011011012000200
4103303113210330
51140022424040
652544523500
711142635250
oct2363274474
9764135020
10332233020
1116059a649
1293320590
1353aa52b2
14321a4260
151e279630
hex13cd793c

332233020 has 72 divisors (see below), whose sum is σ = 1151745504. Its totient is φ = 75938688.

The previous prime is 332233003. The next prime is 332233021. The reversal of 332233020 is 20332233.

332233020 is a `hidden beast` number, since 332 + 2 + 330 + 2 + 0 = 666.

It is a super-2 number, since 2×3322330202 = 220757559156640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332232984 and 332233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130579 + ... + 133098.

Almost surely, 2332233020 is an apocalyptic number.

332233020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332233020 is an abundant number, since it is smaller than the sum of its proper divisors (819512484).

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

332233020 is a wasteful number, since it uses less digits than its factorization.

332233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263699 (or 263694 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332233020 is about 18227.2603536571. The cubic root of 332233020 is about 692.5975187077.

Adding to 332233020 its reverse (20332233), we get a palindrome (352565253).

The spelling of 332233020 in words is "three hundred thirty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 263677 527354 791031 1054708 1318385 1582062 1845739 2373093 2636770 3164124 3691478 3955155 4746186 5273540 5537217 7382956 7910310 9228695 9492372 11074434 11865465 15820620 16611651 18457390 22148868 23730930 27686085 33223302 36914780 47461860 55372170 66446604 83058255 110744340 166116510 332233020