Search a number
-
+
102224430 = 23457112149
BaseRepresentation
bin1100001011111…
…01001000101110
321010100112120000
412011331020232
5202132140210
614051005130
72350615260
oct605751056
9233315500
10102224430
1152780800
122a2997a6
1318242139
14d80db30
158e93ac0
hex617d22e

102224430 has 240 divisors, whose sum is σ = 347608800. Its totient is φ = 21098880.

The previous prime is 102224429. The next prime is 102224461. The reversal of 102224430 is 34422201.

102224430 is a `hidden beast` number, since 1 + 0 + 222 + 443 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 685996 + ... + 686144.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 2102224430 is an apocalyptic number.

102224430 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 102224430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173804400).

102224430 is an abundant number, since it is smaller than the sum of its proper divisors (245384370).

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

102224430 is a wasteful number, since it uses less digits than its factorization.

102224430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102224430 is about 10110.6097738959. The cubic root of 102224430 is about 467.5753050549.

Adding to 102224430 its reverse (34422201), we get a palindrome (136646631).

It can be divided in two parts, 1022 and 24430, that added together give a palindrome (25452).

The spelling of 102224430 in words is "one hundred two million, two hundred twenty-four thousand, four hundred thirty".