Search a number
-
+
232245440 = 2657103681
BaseRepresentation
bin11011101011111…
…00100011000000
3121012000021211222
431311330203000
5433423323230
635013454212
75520024260
oct1565744300
9535007758
10232245440
1110a107489
1265941368
133916734b
1422bb77a0
15155c86e5
hexdd7c8c0

232245440 has 56 divisors (see below), whose sum is σ = 632045472. Its totient is φ = 79626240.

The previous prime is 232245437. The next prime is 232245463. The reversal of 232245440 is 44542232.

It is a happy number.

232245440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49601 + ... + 54080.

Almost surely, 2232245440 is an apocalyptic number.

232245440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232245440 is an abundant number, since it is smaller than the sum of its proper divisors (399800032).

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

232245440 is a wasteful number, since it uses less digits than its factorization.

232245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103705 (or 103695 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 232245440 is about 15239.6010446468. The cubic root of 232245440 is about 614.6799753901.

Adding to 232245440 its reverse (44542232), we get a palindrome (276787672).

The spelling of 232245440 in words is "two hundred thirty-two million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 103681 207362 414724 518405 725767 829448 1036810 1451534 1658896 2073620 2903068 3317792 3628835 4147240 5806136 6635584 7257670 8294480 11612272 14515340 16588960 23224544 29030680 33177920 46449088 58061360 116122720 232245440