Search a number
-
+
100223010 = 23253730097
BaseRepresentation
bin1011111100101…
…00100000100010
320222120212010100
411332110200202
5201124114020
613540043230
72324611236
oct576244042
9228525110
10100223010
1151634038
1229693516
13179c1174
14d44c5c6
158beaa90
hex5f94822

100223010 has 48 divisors (see below), whose sum is σ = 267631416. Its totient is φ = 26002944.

The previous prime is 100223009. The next prime is 100223021. The reversal of 100223010 is 10322001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70509609 + 29713401 = 8397^2 + 5451^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100222983 and 100223001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11719 + ... + 18378.

Almost surely, 2100223010 is an apocalyptic number.

100223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100223010 is an abundant number, since it is smaller than the sum of its proper divisors (167408406).

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

100223010 is a wasteful number, since it uses less digits than its factorization.

100223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30147 (or 30144 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100223010 is about 10011.1442902398. The cubic root of 100223010 is about 464.5036674291.

Adding to 100223010 its reverse (10322001), we get a palindrome (110545011).

The spelling of 100223010 in words is "one hundred million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30097 60194 90291 150485 180582 270873 300970 451455 541746 902910 1113589 1354365 2227178 2708730 3340767 5567945 6681534 10022301 11135890 16703835 20044602 33407670 50111505 100223010