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422002000 = 2453743701
BaseRepresentation
bin11001001001110…
…011110101010000
31002102001220220201
4121021303311100
51331013031000
6105512544544
713312646350
oct3111636520
91072056821
10422002000
111a7233392
12b93b2154
1369576034
1440090b60
15270ac96a
hex19273d50

422002000 has 160 divisors (see below), whose sum is σ = 1194994944. Its totient is φ = 141120000.

The previous prime is 422001949. The next prime is 422002001. The reversal of 422002000 is 200224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422002001) 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, 601650 + ... + 602350.

Almost surely, 2422002000 is an apocalyptic number.

422002000 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 422002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597497472).

422002000 is an abundant number, since it is smaller than the sum of its proper divisors (772992944).

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

422002000 is a wasteful number, since it uses less digits than its factorization.

422002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 422002000 is about 20542.6872633548. The cubic root of 422002000 is about 750.0752517086.

Adding to 422002000 its reverse (200224), we get a palindrome (422202224).

The spelling of 422002000 in words is "four hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 125 140 172 175 200 215 250 280 301 344 350 400 430 500 560 602 688 700 701 860 875 1000 1075 1204 1400 1402 1505 1720 1750 2000 2150 2408 2800 2804 3010 3440 3500 3505 4300 4816 4907 5375 5608 6020 7000 7010 7525 8600 9814 10750 11216 12040 14000 14020 15050 17200 17525 19628 21500 24080 24535 28040 30100 30143 35050 37625 39256 43000 49070 56080 60200 60286 70100 75250 78512 86000 87625 98140 120400 120572 122675 140200 150500 150715 175250 196280 211001 241144 245350 280400 301000 301430 350500 392560 422002 482288 490700 602000 602860 613375 701000 753575 844004 981400 1055005 1205720 1226750 1402000 1507150 1688008 1962800 2110010 2411440 2453500 3014300 3376016 3767875 4220020 4907000 5275025 6028600 7535750 8440040 9814000 10550050 12057200 15071500 16880080 21100100 26375125 30143000 42200200 52750250 60286000 84400400 105500500 211001000 422002000