Search a number
-
+
229941440 = 2651136359
BaseRepresentation
bin11011011010010…
…10000011000000
3121000200020100122
431231022003000
5432331111230
634452235412
75461320131
oct1555120300
9530606318
10229941440
11108883453
126500bb68
133883b731
1422777c88
15152c0be5
hexdb4a0c0

229941440 has 56 divisors (see below), whose sum is σ = 552480480. Its totient is φ = 91148288.

The previous prime is 229941403. The next prime is 229941449. The reversal of 229941440 is 44149922.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 229941440.

It is not an unprimeable number, because it can be changed into a prime (229941449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32981 + ... + 39339.

Almost surely, 2229941440 is an apocalyptic number.

229941440 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 229941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276240240).

229941440 is an abundant number, since it is smaller than the sum of its proper divisors (322539040).

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

229941440 is a wasteful number, since it uses less digits than its factorization.

229941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 229941440 is about 15163.8200991703. The cubic root of 229941440 is about 612.6405641573.

The spelling of 229941440 in words is "two hundred twenty-nine million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 6359 7232 9040 12718 18080 25436 31795 36160 50872 63590 101744 127180 203488 254360 406976 508720 718567 1017440 1437134 2034880 2874268 3592835 5748536 7185670 11497072 14371340 22994144 28742680 45988288 57485360 114970720 229941440