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4000022424 = 2332197141183
BaseRepresentation
bin1110111001101011…
…0111111110011000
3101022202202012012200
43232122313332120
531143001204144
61500530210200
7201060425646
oct35632677630
911282665180
104000022424
1117729aa062
12937723960
134b992b998
1429d35c196
1518627bc69
hexee6b7f98

4000022424 has 96 divisors (see below), whose sum is σ = 11564467200. Its totient is φ = 1245343680.

The previous prime is 4000022417. The next prime is 4000022431. The reversal of 4000022424 is 4242200004.

It is an interprime number because it is at equal distance from previous prime (4000022417) and next prime (4000022431).

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 = 4000022397 and 4000022406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76537 + ... + 117719.

It is an arithmetic number, because the mean of its divisors is an integer number (120463200).

Almost surely, 24000022424 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 4000022424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782233600).

4000022424 is an abundant number, since it is smaller than the sum of its proper divisors (7564444776).

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

4000022424 is a wasteful number, since it uses less digits than its factorization.

4000022424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41285 (or 41278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4000022424 is about 63245.7304804048. The cubic root of 4000022424 is about 1587.4040182861.

Adding to 4000022424 its reverse (4242200004), we get a palindrome (8242222428).

The spelling of 4000022424 in words is "four billion, twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 213 228 284 342 426 456 568 639 684 852 1278 1349 1368 1704 2556 2698 4047 5112 5396 8094 10792 12141 16188 24282 32376 41183 48564 82366 97128 123549 164732 247098 329464 370647 494196 741294 782477 988392 1482588 1564954 2347431 2923993 2965176 3129908 4694862 5847986 6259816 7042293 8771979 9389724 11695972 14084586 17543958 18779448 23391944 26315937 28169172 35087916 52631874 55555867 56338344 70175832 105263748 111111734 166667601 210527496 222223468 333335202 444446936 500002803 666670404 1000005606 1333340808 2000011212 4000022424