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2231434406 = 229372157179
BaseRepresentation
bin1000010100000000…
…1111110010100110
312202111211121112202
42011000033302212
514032221400111
61005231214502
7106203610445
oct20500176246
95674747482
102231434406
11a4564a773
12523377432
132973b94b6
14172500d5c
15d0d7ab3b
hex8500fca6

2231434406 has 48 divisors (see below), whose sum is σ = 3601357200. Its totient is φ = 1035635328.

The previous prime is 2231434393. The next prime is 2231434409. The reversal of 2231434406 is 6044341322.

It is a super-3 number, since 3×22314344063 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231434409) 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 23 ways as a sum of consecutive naturals, for example, 12466025 + ... + 12466203.

It is an arithmetic number, because the mean of its divisors is an integer number (75028275).

Almost surely, 22231434406 is an apocalyptic number.

2231434406 is a deficient number, since it is larger than the sum of its proper divisors (1369922794).

2231434406 is a wasteful number, since it uses less digits than its factorization.

2231434406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2231434406 is about 47238.0609889949. The cubic root of 2231434406 is about 1306.7566183766.

Adding to 2231434406 its reverse (6044341322), we get a palindrome (8275775728).

The spelling of 2231434406 in words is "two billion, two hundred thirty-one million, four hundred thirty-four thousand, four hundred six".

Divisors: 1 2 29 37 58 74 157 179 314 358 1073 1369 2146 2738 4553 5191 5809 6623 9106 10382 11618 13246 28103 39701 56206 79402 168461 192067 214933 245051 336922 384134 429866 490102 814987 1039811 1629974 2079622 6233057 7106479 12466114 14212958 30154519 38473007 60309038 76946014 1115717203 2231434406