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422334020420 = 2251373131169859
BaseRepresentation
bin1100010010101010001…
…00011011101101000100
31111101010011222011100022
412021111010123231010
523404420002123140
6522003443434312
742340554641114
oct6112504335504
91441104864308
10422334020420
111531245a9514
1269a26985998
1330a97740040
1416626451044
15aebc5060b5
hex625511bb44

422334020420 has 96 divisors (see below), whose sum is σ = 975605178240. Its totient is φ = 152627604480.

The previous prime is 422334020411. The next prime is 422334020429. The reversal of 422334020420 is 24020433224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422334020411) and next prime (422334020429).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 422334020420.

It is not an unprimeable number, because it can be changed into a prime (422334020429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401451 + ... + 2571309.

It is an arithmetic number, because the mean of its divisors is an integer number (10162553940).

Almost surely, 2422334020420 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 422334020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487802589120).

422334020420 is an abundant number, since it is smaller than the sum of its proper divisors (553271157820).

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

422334020420 is a wasteful number, since it uses less digits than its factorization.

422334020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170085 (or 170083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 422334020420 its reverse (24020433224), we get a palindrome (446354453644).

The spelling of 422334020420 in words is "four hundred twenty-two billion, three hundred thirty-four million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 131 146 260 262 292 365 524 655 730 949 1310 1460 1703 1898 2620 3406 3796 4745 6812 8515 9490 9563 17030 18980 19126 34060 38252 47815 95630 124319 169859 191260 248638 339718 497276 621595 679436 849295 1243190 1698590 2208167 2486380 3397180 4416334 8832668 11040835 12399707 22081670 22251529 24799414 44163340 44503058 49598828 61998535 89006116 111257645 123997070 161196191 222515290 247994140 289269877 322392382 445030580 578539754 644784764 805980955 1157079508 1446349385 1611961910 1624361617 2892698770 3223923820 3248723234 5785397540 6497446468 8121808085 16243616170 21116701021 32487232340 42233402042 84466804084 105583505105 211167010210 422334020420