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4226121324 = 2233172399631
BaseRepresentation
bin1111101111100101…
…0111111001101100
3101220112012012121000
43323321113321230
532123341340244
61535204240300
7206504303265
oct37371277154
911815165530
104226121324
111879598557
1299b3a0090
13524723409
142c13b596c
1519b03e169
hexfbe57e6c

4226121324 has 96 divisors (see below), whose sum is σ = 11650867200. Its totient is φ = 1320157440.

The previous prime is 4226121323. The next prime is 4226121343. The reversal of 4226121324 is 4231216224.

4226121324 is a `hidden beast` number, since 4 + 22 + 612 + 1 + 3 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (4226121323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433989 + ... + 443619.

It is an arithmetic number, because the mean of its divisors is an integer number (121363200).

Almost surely, 24226121324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226121324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825433600).

4226121324 is an abundant number, since it is smaller than the sum of its proper divisors (7424745876).

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

4226121324 is a wasteful number, since it uses less digits than its factorization.

4226121324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9892 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4226121324 is about 65008.6249969956. The cubic root of 4226121324 is about 1616.7665683733.

Adding to 4226121324 its reverse (4231216224), we get a palindrome (8457337548).

The spelling of 4226121324 in words is "four billion, two hundred twenty-six million, one hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 239 306 459 478 612 717 918 956 1434 1836 2151 2868 4063 4302 6453 8126 8604 9631 12189 12906 16252 19262 24378 25812 28893 36567 38524 48756 57786 73134 86679 109701 115572 146268 163727 173358 219402 260037 327454 346716 438804 491181 520074 654908 982362 1040148 1473543 1964724 2301809 2947086 4420629 4603618 5894172 6905427 8841258 9207236 13810854 17682516 20716281 27621708 39130753 41432562 62148843 78261506 82865124 117392259 124297686 156523012 234784518 248595372 352176777 469569036 704353554 1056530331 1408707108 2113060662 4226121324