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106220430 = 23351971997
BaseRepresentation
bin1100101010011…
…00101110001110
321101212120001000
412111030232032
5204143023210
614312401130
72426600361
oct625145616
9241776030
10106220430
1154a5aa88
122b6a61a6
1319010c34
14101700d8
1594d2ac0
hex654cb8e

106220430 has 64 divisors (see below), whose sum is σ = 284834880. Its totient is φ = 28167552.

The previous prime is 106220419. The next prime is 106220447. The reversal of 106220430 is 34022601.

It is a happy number.

106220430 is a `hidden beast` number, since 1 + 0 + 622 + 0 + 43 + 0 = 666.

It is a super-2 number, since 2×1062204302 = 22565559498769800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52192 + ... + 54188.

It is an arithmetic number, because the mean of its divisors is an integer number (4450545).

Almost surely, 2106220430 is an apocalyptic number.

106220430 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 106220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142417440).

106220430 is an abundant number, since it is smaller than the sum of its proper divisors (178614450).

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

106220430 is a wasteful number, since it uses less digits than its factorization.

106220430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106220430 is about 10306.3296085464. The cubic root of 106220430 is about 473.5901761291.

The spelling of 106220430 in words is "one hundred six million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 197 270 394 591 985 1182 1773 1970 1997 2955 3546 3994 5319 5910 5991 8865 9985 10638 11982 17730 17973 19970 26595 29955 35946 53190 53919 59910 89865 107838 179730 269595 393409 539190 786818 1180227 1967045 2360454 3540681 3934090 5901135 7081362 10622043 11802270 17703405 21244086 35406810 53110215 106220430