Search a number
-
+
232099728 = 24373122283
BaseRepresentation
bin11011101010110…
…00111110010000
3121011201212222020
431311120332100
5433404142403
635010411440
75515546410
oct1565307620
9534655866
10232099728
1110a017a63
1265890b80
1339115c23
1422b7a640
151559a453
hexdd58f90

232099728 has 80 divisors (see below), whose sum is σ = 707383296. Its totient is φ = 64172160.

The previous prime is 232099727. The next prime is 232099733. The reversal of 232099728 is 827990232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 232099728.

It is not an unprimeable number, because it can be changed into a prime (232099723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 21557.

Almost surely, 2232099728 is an apocalyptic number.

232099728 is a gapful number since it is divisible by the number (28) 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 232099728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353691648).

232099728 is an abundant number, since it is smaller than the sum of its proper divisors (475283568).

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

232099728 is a wasteful number, since it uses less digits than its factorization.

232099728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 232099728 is about 15234.8195919742. The cubic root of 232099728 is about 614.5513973556.

The spelling of 232099728 in words is "two hundred thirty-two million, ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 22283 44566 66849 89132 133698 155981 178264 267396 311962 356528 467943 534792 623924 690773 935886 1069584 1247848 1381546 1871772 2072319 2495696 2763092 3743544 4144638 4835411 5526184 7487088 8289276 9670822 11052368 14506233 16578552 19341644 29012466 33157104 38683288 58024932 77366576 116049864 232099728