Search a number
-
+
100229616 = 2433232013
BaseRepresentation
bin1011111100101…
…10000111110000
320222121012012000
411332112013300
5201124321431
613540134000
72324636424
oct576260760
9228535160
10100229616
1151638aa3
1229697300
13179c4186
14d450b84
158bec9e6
hex5f961f0

100229616 has 40 divisors (see below), whose sum is σ = 287697360. Its totient is φ = 33409728.

The previous prime is 100229593. The next prime is 100229627. The reversal of 100229616 is 616922001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100229616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115575 + ... + 116438.

It is an arithmetic number, because the mean of its divisors is an integer number (7192434).

Almost surely, 2100229616 is an apocalyptic number.

100229616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100229616 is an abundant number, since it is smaller than the sum of its proper divisors (187467744).

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

100229616 is a wasteful number, since it uses less digits than its factorization.

100229616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232030 (or 232018 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100229616 is about 10011.4742171171. The cubic root of 100229616 is about 464.5138728161.

The spelling of 100229616 in words is "one hundred million, two hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 232013 464026 696039 928052 1392078 1856104 2088117 2784156 3712208 4176234 5568312 6264351 8352468 11136624 12528702 16704936 25057404 33409872 50114808 100229616