Search a number
-
+
100264230 = 235511331
BaseRepresentation
bin1011111100111…
…10100100100110
320222122221200000
411332132210212
5201131423410
613541002130
72325142353
oct576364446
9228587600
10100264230
1151662000
12296b3346
1317a06b61
14d45d62a
158c07dc0
hex5f9e926

100264230 has 192 divisors, whose sum is σ = 306948096. Its totient is φ = 23522400.

The previous prime is 100264211. The next prime is 100264231. The reversal of 100264230 is 32462001.

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 not an unprimeable number, because it can be changed into a prime (100264231) 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, 3234315 + ... + 3234345.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2100264230 is an apocalyptic number.

100264230 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 100264230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474048).

100264230 is an abundant number, since it is smaller than the sum of its proper divisors (206683866).

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

100264230 is an equidigital number, since it uses as much as digits as its factorization.

100264230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

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

The square root of 100264230 is about 10013.2027843243. The cubic root of 100264230 is about 464.5673394902.

The spelling of 100264230 in words is "one hundred million, two hundred sixty-four thousand, two hundred thirty".