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4222100124 = 22321119737687
BaseRepresentation
bin1111101110101000…
…0010001010011100
3101220020121220112200
43323222002022130
532121324200444
61534542131500
7206425154544
oct37352021234
911806556480
104222100124
1118772a1350
12999b80b90
13523945cc8
142c0a4a324
1519a9e7969
hexfba8229c

4222100124 has 144 divisors (see below), whose sum is σ = 12425038080. Its totient is φ = 1195326720.

The previous prime is 4222100123. The next prime is 4222100131. The reversal of 4222100124 is 4210012224.

4222100124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42221001242 = 35652258914161630752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4222100097 and 4222100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222100123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545409 + ... + 553095.

Almost surely, 24222100124 is an apocalyptic number.

4222100124 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 4222100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212519040).

4222100124 is an abundant number, since it is smaller than the sum of its proper divisors (8202937956).

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

4222100124 is a wasteful number, since it uses less digits than its factorization.

4222100124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4222100124 is about 64977.6894326045. The cubic root of 4222100124 is about 1616.2536153722.

Adding to 4222100124 its reverse (4210012224), we get a palindrome (8432112348).

It can be divided in two parts, 4222100 and 124, that added together give a palindrome (4222224).

The spelling of 4222100124 in words is "four billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 73 76 99 114 132 146 171 198 209 219 228 292 342 396 418 438 627 657 684 803 836 876 1254 1314 1387 1606 1881 2409 2508 2628 2774 3212 3762 4161 4818 5548 7227 7524 7687 8322 9636 12483 14454 15257 15374 16644 23061 24966 28908 30514 30748 45771 46122 49932 61028 69183 84557 91542 92244 137313 138366 146053 169114 183084 253671 274626 276732 292106 338228 438159 507342 549252 561151 584212 761013 876318 1014684 1122302 1314477 1522026 1606583 1683453 1752636 2244604 2628954 3044052 3213166 3366906 4819749 5050359 5257908 6172661 6426332 6733812 9639498 10100718 10661869 12345322 14459247 18517983 19278996 20201436 21323738 24690644 28918494 31985607 37035966 42647476 55553949 57836988 63971214 74071932 95956821 111107898 117280559 127942428 191913642 222215796 234561118 351841677 383827284 469122236 703683354 1055525031 1407366708 2111050062 4222100124