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232201420 = 225112229419
BaseRepresentation
bin11011101011100…
…01110011001100
3121011221001110121
431311301303030
5433420421140
635012514324
75516452033
oct1565616314
9534831417
10232201420
1110a087400
126591b9a4
13391502b9
1422ba571a
15155ba64a
hexdd71ccc

232201420 has 72 divisors (see below), whose sum is σ = 539607600. Its totient is φ = 83867520.

The previous prime is 232201391. The next prime is 232201469. The reversal of 232201420 is 24102232.

It is a junction number, because it is equal to n+sod(n) for n = 232201394 and 232201403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553971 + ... + 554389.

It is an arithmetic number, because the mean of its divisors is an integer number (7494550).

Almost surely, 2232201420 is an apocalyptic number.

232201420 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 232201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269803800).

232201420 is an abundant number, since it is smaller than the sum of its proper divisors (307406180).

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

232201420 is a wasteful number, since it uses less digits than its factorization.

232201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

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

The square root of 232201420 is about 15238.1567126736. The cubic root of 232201420 is about 614.6411372795.

Adding to 232201420 its reverse (24102232), we get a palindrome (256303652).

The spelling of 232201420 in words is "two hundred thirty-two million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 229 242 419 458 484 605 838 916 1145 1210 1676 2095 2290 2420 2519 4190 4580 4609 5038 8380 9218 10076 12595 18436 23045 25190 27709 46090 50380 50699 55418 92180 95951 101398 110836 138545 191902 202796 253495 277090 383804 479755 506990 554180 959510 1013980 1055461 1919020 2110922 4221844 5277305 10554610 11610071 21109220 23220142 46440284 58050355 116100710 232201420