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42210000 = 243254767
BaseRepresentation
bin1010000100000…
…1001011010000
32221102111020100
42201001023100
541301210000
64104412400
71021531140
oct241011320
987374210
1042210000
112190aaa8
1212177100
13898b741
14586a920
153a8ba00
hex28412d0

42210000 has 300 divisors, whose sum is σ = 171220192. Its totient is φ = 9504000.

The previous prime is 42209983. The next prime is 42210013. The reversal of 42210000 is 1224.

42210000 = 813 + 823 + ... + 1203.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629967 + ... + 630033.

Almost surely, 242210000 is an apocalyptic number.

42210000 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 42210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85610096).

42210000 is an abundant number, since it is smaller than the sum of its proper divisors (129010192).

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

42210000 is a wasteful number, since it uses less digits than its factorization.

42210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42210000 is about 6496.9223483123. The cubic root of 42210000 is about 348.1810393730.

Adding to 42210000 its reverse (1224), we get a palindrome (42211224).

The spelling of 42210000 in words is "forty-two million, two hundred ten thousand".