Search a number
-
+
202122072 = 23325352967
BaseRepresentation
bin11000000110000…
…10001101011000
3112002022212100200
430003002031120
5403220401242
632020102200
75003003115
oct1403021530
9462285320
10202122072
11a4102339
1257834960
1332b4b179
141cbb590c
1512b2804c
hexc0c2358

202122072 has 48 divisors (see below), whose sum is σ = 557753040. Its totient is φ = 66101568.

The previous prime is 202122029. The next prime is 202122073. The reversal of 202122072 is 270221202.

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 (202122073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22668 + ... + 30299.

It is an arithmetic number, because the mean of its divisors is an integer number (11619855).

Almost surely, 2202122072 is an apocalyptic number.

It is an amenable number.

202122072 is an abundant number, since it is smaller than the sum of its proper divisors (355630968).

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

202122072 is a wasteful number, since it uses less digits than its factorization.

202122072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53032 (or 53025 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202122072 is about 14216.9642329155. The cubic root of 202122072 is about 586.8646006248.

Adding to 202122072 its reverse (270221202), we get a palindrome (472343274).

The spelling of 202122072 in words is "two hundred two million, one hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 52967 105934 158901 211868 317802 423736 476703 635604 953406 1271208 1906812 2807251 3813624 5614502 8421753 11229004 16843506 22458008 25265259 33687012 50530518 67374024 101061036 202122072