Search a number
-
+
22100032332 = 22337261223307
BaseRepresentation
bin10100100101010000…
…111011101101001100
32010001012002222001000
4110211100323231030
5330230102013312
614052544220300
71411442114100
oct244520735514
963035088030
1022100032332
11941098a434
12434930a690
1321127a7411
1410d917d900
158952dcadc
hex52543bb4c

22100032332 has 288 divisors, whose sum is σ = 68268963840. Its totient is φ = 6162791040.

The previous prime is 22100032319. The next prime is 22100032369. The reversal of 22100032332 is 23323000122.

It is a happy number.

It is a super-2 number, since 2×221000323322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71986923 + ... + 71987229.

Almost surely, 222100032332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134481920).

22100032332 is an abundant number, since it is smaller than the sum of its proper divisors (46168931508).

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

22100032332 is a wasteful number, since it uses less digits than its factorization.

22100032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22100032332 its reverse (23323000122), we get a palindrome (45423032454).

The spelling of 22100032332 in words is "twenty-two billion, one hundred million, thirty-two thousand, three hundred thirty-two".