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2223213432 = 2331183241421
BaseRepresentation
bin1000010010000011…
…1000101101111000
312201221100221111020
42010200320231320
514023120312212
61004335102440
7106044000546
oct20440705570
95657327436
102223213432
11a40a45180
12520671a20
1329579b60b
141713a0d96
15d02a4d8c
hex84838b78

2223213432 has 128 divisors (see below), whose sum is σ = 6176459520. Its totient is φ = 661248000.

The previous prime is 2223213431. The next prime is 2223213439. The reversal of 2223213432 is 2343123222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223213431) 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 31 ways as a sum of consecutive naturals, for example, 5280582 + ... + 5281002.

It is an arithmetic number, because the mean of its divisors is an integer number (48253590).

Almost surely, 22223213432 is an apocalyptic number.

2223213432 is a gapful number since it is divisible by the number (22) 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 2223213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088229760).

2223213432 is an abundant number, since it is smaller than the sum of its proper divisors (3953246088).

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

2223213432 is a wasteful number, since it uses less digits than its factorization.

2223213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2223213432 is about 47150.9642743391. The cubic root of 2223213432 is about 1305.1498743034.

Adding to 2223213432 its reverse (2343123222), we get a palindrome (4566336654).

The spelling of 2223213432 in words is "two billion, two hundred twenty-three million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 241 249 264 332 421 482 498 664 723 842 913 964 996 1263 1446 1684 1826 1928 1992 2526 2651 2739 2892 3368 3652 4631 5052 5302 5478 5784 7304 7953 9262 10104 10604 10956 13893 15906 18524 20003 21208 21912 27786 31812 34943 37048 40006 55572 60009 63624 69886 80012 101461 104829 111144 120018 139772 160024 202922 209658 220033 240036 279544 304383 384373 405844 419316 440066 480072 608766 660099 768746 811688 838632 880132 1116071 1153119 1217532 1320198 1537492 1760264 2232142 2306238 2435064 2640396 3074984 3348213 4464284 4612476 5280792 6696426 8421263 8928568 9224952 13392852 16842526 25263789 26785704 33685052 50527578 67370104 92633893 101055156 185267786 202110312 277901679 370535572 555803358 741071144 1111606716 2223213432