Search a number
-
+
1222401432 = 233727431399
BaseRepresentation
bin100100011011100…
…0101110110011000
310011012011102112010
41020313011312120
510000413321212
6321144145520
742202145400
oct11067056630
93135142463
101222401432
1157801731a
122a14682a0
13166338975
14b84c1800
15724b303c
hex48dc5d98

1222401432 has 96 divisors (see below), whose sum is σ = 3562272000. Its totient is φ = 348538176.

The previous prime is 1222401421. The next prime is 1222401437. The reversal of 1222401432 is 2341042221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1222401399 and 1222401408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222401437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873069 + ... + 874467.

It is an arithmetic number, because the mean of its divisors is an integer number (37107000).

Almost surely, 21222401432 is an apocalyptic number.

1222401432 is a gapful number since it is divisible by the number (12) 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 1222401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

1222401432 is an abundant number, since it is smaller than the sum of its proper divisors (2339870568).

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

1222401432 is a wasteful number, since it uses less digits than its factorization.

1222401432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1222401432 is about 34962.8578923406. The cubic root of 1222401432 is about 1069.2303639461.

Adding to 1222401432 its reverse (2341042221), we get a palindrome (3563443653).

The spelling of 1222401432 in words is "one billion, two hundred twenty-two million, four hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 743 1176 1399 1486 2229 2798 2972 4197 4458 5201 5596 5944 8394 8916 9793 10402 11192 15603 16788 17832 19586 20804 29379 31206 33576 36407 39172 41608 58758 62412 68551 72814 78344 109221 117516 124824 137102 145628 205653 218442 235032 274204 291256 411306 436884 548408 822612 873768 1039457 1645224 2078914 3118371 4157828 6236742 7276199 8315656 12473484 14552398 21828597 24946968 29104796 43657194 50933393 58209592 87314388 101866786 152800179 174628776 203733572 305600358 407467144 611200716 1222401432