Search a number
-
+
102220380 = 223851941
BaseRepresentation
bin1100001011111…
…00001001011100
321010100100000000
412011330021130
5202132023010
614050534300
72350600413
oct605741134
9233310000
10102220380
1152778759
122a297390
1318240342
14d80c47a
158e927c0
hex617c25c

102220380 has 216 divisors, whose sum is σ = 347190480. Its totient is φ = 25194240.

The previous prime is 102220379. The next prime is 102220403. The reversal of 102220380 is 83022201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2493160 + ... + 2493200.

Almost surely, 2102220380 is an apocalyptic number.

102220380 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 102220380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173595240).

102220380 is an abundant number, since it is smaller than the sum of its proper divisors (244970100).

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

102220380 is an equidigital number, since it uses as much as digits as its factorization.

102220380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102220380 is about 10110.4094872562. The cubic root of 102220380 is about 467.5691300633.

Adding to 102220380 its reverse (83022201), we get a palindrome (185242581).

The spelling of 102220380 in words is "one hundred two million, two hundred twenty thousand, three hundred eighty".