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422322010040 = 235761101244813
BaseRepresentation
bin1100010010101000101…
…10100111011110111000
31111101002100100222012102
412021110112213132320
523404403413310130
6522002334202532
742340350566330
oct6112426473670
91441070328172
10422322010040
11153118845987
1269a22953448
1330a950c63c8
1416624a060c0
15aebb432645
hex62545a77b8

422322010040 has 128 divisors (see below), whose sum is σ = 1114706689920. Its totient is φ = 141011712000.

The previous prime is 422322010031. The next prime is 422322010049. The reversal of 422322010040 is 40010223224.

It is an interprime number because it is at equal distance from previous prime (422322010031) and next prime (422322010049).

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

It is a junction number, because it is equal to n+sod(n) for n = 422322009994 and 422322010021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422322010049) 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, 1602674 + ... + 1847486.

It is an arithmetic number, because the mean of its divisors is an integer number (8708646015).

Almost surely, 2422322010040 is an apocalyptic number.

422322010040 is a gapful number since it is divisible by the number (40) 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 422322010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557353344960).

422322010040 is an abundant number, since it is smaller than the sum of its proper divisors (692384679880).

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

422322010040 is a wasteful number, since it uses less digits than its factorization.

422322010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244993 (or 244989 counting only the distinct ones).

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

Adding to 422322010040 its reverse (40010223224), we get a palindrome (462332233264).

The spelling of 422322010040 in words is "four hundred twenty-two billion, three hundred twenty-two million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 101 122 140 202 244 280 305 404 427 488 505 610 707 808 854 1010 1220 1414 1708 2020 2135 2440 2828 3416 3535 4040 4270 5656 6161 7070 8540 12322 14140 17080 24644 28280 30805 43127 49288 61610 86254 123220 172508 215635 244813 246440 345016 431270 489626 862540 979252 1224065 1713691 1725080 1958504 2448130 3427382 4896260 6854764 8568455 9792520 13709528 14933593 17136910 24726113 29867186 34273820 49452226 59734372 68547640 74667965 98904452 104535151 119468744 123630565 149335930 173082791 197808904 209070302 247261130 298671860 346165582 418140604 494522260 522675755 597343720 692331164 836281208 865413955 989044520 1045351510 1384662328 1508292893 1730827910 2090703020 3016585786 3461655820 4181406040 6033171572 6923311640 7541464465 10558050251 12066343144 15082928930 21116100502 30165857860 42232201004 52790251255 60331715720 84464402008 105580502510 211161005020 422322010040