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422040304100 = 225219194723333
BaseRepresentation
bin1100010010000111000…
…11111111100111100100
31111100100201021211022002
412021003203333213210
523403314304212400
6521514352224432
742330360252242
oct6110343774744
91440321254262
10422040304100
11152a93827058
126996453b118
1330a4b9323bc
14165d9435792
15aea1838ed5
hex62438ff9e4

422040304100 has 72 divisors (see below), whose sum is σ = 921634011648. Its totient is φ = 167747747200.

The previous prime is 422040304079. The next prime is 422040304109. The reversal of 422040304100 is 1403040224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (422040304109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18076034 + ... + 18099366.

It is an arithmetic number, because the mean of its divisors is an integer number (12800472384).

Almost surely, 2422040304100 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 422040304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460817005824).

422040304100 is an abundant number, since it is smaller than the sum of its proper divisors (499593707548).

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

422040304100 is a wasteful number, since it uses less digits than its factorization.

422040304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24485 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 422040304100 its reverse (1403040224), we get a palindrome (423443344324).

The spelling of 422040304100 in words is "four hundred twenty-two billion, forty million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 947 955 1894 1910 3788 3820 4735 4775 9470 9550 18940 19100 23333 23675 46666 47350 93332 94700 116665 180877 233330 361754 466660 583325 723508 904385 1166650 1808770 2333300 3617540 4456603 4521925 8913206 9043850 17826412 18087700 22096351 22283015 44192702 44566030 88385404 89132060 110481755 111415075 220963510 222830150 441927020 445660300 552408775 1104817550 2209635100 4220403041 8440806082 16881612164 21102015205 42204030410 84408060820 105510076025 211020152050 422040304100