Search a number
-
+
221906952 = 2334342449
BaseRepresentation
bin11010011101000…
…00100000001000
3120110120001010000
431032200200020
5423302010302
634004123000
75333115021
oct1516404010
9513501100
10221906952
11104295a83
1262396460
1336c876b7
1421685c48
151473531c
hexd3a0808

221906952 has 40 divisors (see below), whose sum is σ = 621546750. Its totient is φ = 73968768.

The previous prime is 221906941. The next prime is 221906957. The reversal of 221906952 is 259609122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 219454596 + 2452356 = 14814^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221906957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 170577 + ... + 171872.

Almost surely, 2221906952 is an apocalyptic number.

It is an amenable number.

221906952 is an abundant number, since it is smaller than the sum of its proper divisors (399639798).

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

221906952 is a wasteful number, since it uses less digits than its factorization.

221906952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342467 (or 342454 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 221906952 is about 14896.5416120655. The cubic root of 221906952 is about 605.4202867040.

The spelling of 221906952 in words is "two hundred twenty-one million, nine hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 342449 684898 1027347 1369796 2054694 2739592 3082041 4109388 6164082 8218776 9246123 12328164 18492246 24656328 27738369 36984492 55476738 73968984 110953476 221906952