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4222222224 = 2431113161043
BaseRepresentation
bin1111101110101001…
…1111111110010000
3101220020212010000220
43323222133332100
532121342102344
61534544513040
7206426203533
oct37352377620
911806763026
104222222224
111877375060
1299a01b780
1352398975c
142c0a7ca1a
1519aa1dc19
hexfba9ff90

4222222224 has 80 divisors (see below), whose sum is σ = 11990018304. Its totient is φ = 1269673600.

The previous prime is 4222222223. The next prime is 4222222243.

4222222224 is nontrivially palindromic in base 10.

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 junction number, because it is equal to n+sod(n) for n = 4222222194 and 4222222203.

It is not an unprimeable number, because it can be changed into a prime (4222222223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38647 + ... + 99689.

Almost surely, 24222222224 is an apocalyptic number.

4222222224 is a gapful number since it is divisible by the number (44) 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 4222222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995009152).

4222222224 is an abundant number, since it is smaller than the sum of its proper divisors (7767796080).

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

4222222224 is a wasteful number, since it uses less digits than its factorization.

4222222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61196 (or 61190 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 4222222224 is about 64978.6289790728. The cubic root of 4222222224 is about 1616.2691955068.

It can be divided in two parts, 42222 and 22224, that added together give a palindrome (64446).

The spelling of 4222222224 in words is "four billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 786 1048 1441 1572 2096 2882 3144 4323 5764 6288 8646 11528 17292 23056 34584 61043 69168 122086 183129 244172 366258 488344 671473 732516 976688 1342946 1465032 2014419 2685892 2930064 4028838 5371784 7996633 8057676 10743568 15993266 16115352 23989899 31986532 32230704 47979798 63973064 87962963 95959596 127946128 175925926 191919192 263888889 351851852 383838384 527777778 703703704 1055555556 1407407408 2111111112 4222222224