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422311201000 = 235313156720731
BaseRepresentation
bin1100010010100111011…
…01011000100011101000
31111101001121000210222121
412021103231120203220
523404343131413000
6522001310401024
742340156660153
oct6112355304350
91441047023877
10422311201000
11153112732997
1269a1b200174
1330a92ab0520
14166233d0c9a
15aeba4e9b1a
hex6253b588e8

422311201000 has 128 divisors (see below), whose sum is σ = 1064954741760. Its totient is φ = 155823264000.

The previous prime is 422311200929. The next prime is 422311201019. The reversal of 422311201000 is 102113224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20360635 + ... + 20381365.

It is an arithmetic number, because the mean of its divisors is an integer number (8319958920).

Almost surely, 2422311201000 is an apocalyptic number.

422311201000 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 422311201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532477370880).

422311201000 is an abundant number, since it is smaller than the sum of its proper divisors (642643540760).

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

422311201000 is a wasteful number, since it uses less digits than its factorization.

422311201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22332 (or 22318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 422311201000 its reverse (102113224), we get a palindrome (422413314224).

The spelling of 422311201000 in words is "four hundred twenty-two billion, three hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1567 1625 2600 3134 3250 6268 6500 7835 12536 13000 15670 20371 20731 31340 39175 40742 41462 62680 78350 81484 82924 101855 103655 156700 162968 165848 195875 203710 207310 269503 313400 391750 407420 414620 509275 518275 539006 783500 814840 829240 1018550 1036550 1078012 1347515 1567000 2037100 2073100 2156024 2546375 2591375 2695030 4074200 4146200 5092750 5182750 5390060 6737575 10185500 10365500 10780120 13475150 20371000 20731000 26950300 32485477 33687875 53900600 64970954 67375750 129941908 134751500 162427385 259883816 269503000 324854770 422311201 649709540 812136925 844622402 1299419080 1624273850 1689244804 2111556005 3248547700 3378489608 4060684625 4223112010 6497095400 8121369250 8446224020 10557780025 16242738500 16892448040 21115560050 32485477000 42231120100 52788900125 84462240200 105577800250 211155600500 422311201000