Search a number
-
+
100222650 = 233521117397
BaseRepresentation
bin1011111100101…
…00011010111010
320222120211122000
411332110122322
5201124111100
613540041430
72324610213
oct576243272
9228524560
10100222650
1151633840
1229693276
13179c0c58
14d44c40a
158bea900
hex5f946ba

100222650 has 192 divisors, whose sum is σ = 319800960. Its totient is φ = 22809600.

The previous prime is 100222643. The next prime is 100222657. The reversal of 100222650 is 56222001.

100222650 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 2 + 650 = 666.

It is an interprime number because it is at equal distance from previous prime (100222643) and next prime (100222657).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100222657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252252 + ... + 252648.

It is an arithmetic number, because the mean of its divisors is an integer number (1665630).

Almost surely, 2100222650 is an apocalyptic number.

100222650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159900480).

100222650 is an abundant number, since it is smaller than the sum of its proper divisors (219578310).

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

100222650 is a wasteful number, since it uses less digits than its factorization.

100222650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100222650 is about 10011.1263102610. The cubic root of 100222650 is about 464.5031112643.

Adding to 100222650 its reverse (56222001), we get a palindrome (156444651).

The spelling of 100222650 in words is "one hundred million, two hundred twenty-two thousand, six hundred fifty".