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102226080 = 253511191019
BaseRepresentation
bin1100001011111…
…01100010100000
321010100121211010
412011331202200
5202132213310
614051020520
72350623135
oct605754240
9233317733
10102226080
1152781a70
122a29a740
1318242b08
14d81058c
158e94320
hex617d8a0

102226080 has 192 divisors, whose sum is σ = 370137600. Its totient is φ = 23454720.

The previous prime is 102226067. The next prime is 102226087. The reversal of 102226080 is 80622201.

It is not an unprimeable number, because it can be changed into a prime (102226087) 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, 99811 + ... + 100829.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2102226080 is an apocalyptic number.

102226080 is a gapful number since it is divisible by the number (10) 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 102226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

102226080 is an abundant number, since it is smaller than the sum of its proper divisors (267911520).

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

102226080 is a wasteful number, since it uses less digits than its factorization.

102226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102226080 is about 10110.6913710191. The cubic root of 102226080 is about 467.5778207454.

Adding to 102226080 its reverse (80622201), we get a palindrome (182848281).

The spelling of 102226080 in words is "one hundred two million, two hundred twenty-six thousand, eighty".