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232401220 = 225174791427
BaseRepresentation
bin11011101101000…
…10100101000100
3121012022012112121
431312202211010
5433443314340
635021055324
75521243402
oct1566424504
9535265477
10232401220
1110a203527
12659b7544
13391c021c
1422c18472
151560994a
hexdda2944

232401220 has 48 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 87248384.

The previous prime is 232401193. The next prime is 232401227. The reversal of 232401220 is 22104232.

It is a junction number, because it is equal to n+sod(n) for n = 232401194 and 232401203.

It is not an unprimeable number, because it can be changed into a prime (232401227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162147 + ... + 163573.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2232401220 is an apocalyptic number.

232401220 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 232401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

232401220 is an abundant number, since it is smaller than the sum of its proper divisors (285791420).

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

232401220 is a wasteful number, since it uses less digits than its factorization.

232401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232401220 is about 15244.7112140572. The cubic root of 232401220 is about 614.8173780809.

Adding to 232401220 its reverse (22104232), we get a palindrome (254505452).

The spelling of 232401220 in words is "two hundred thirty-two million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 479 958 1427 1916 2395 2854 4790 5708 7135 8143 9580 14270 16286 24259 28540 32572 40715 48518 81430 97036 121295 162860 242590 485180 683533 1367066 2734132 3417665 6835330 11620061 13670660 23240122 46480244 58100305 116200610 232401220