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202144344 = 233191133923
BaseRepresentation
bin11000000110001…
…11101001011000
3112002100222220120
430003013221120
5403222104334
632020353240
75003125053
oct1403075130
9462328816
10202144344
11a4118046
1257845820
1332b5834c
141cbbda9a
1512b2e949
hexc0c7a58

202144344 has 64 divisors (see below), whose sum is σ = 536803200. Its totient is φ = 63254016.

The previous prime is 202144343. The next prime is 202144361. The reversal of 202144344 is 443441202.

It is a happy number.

It is a super-2 number, since 2×2021443442 = 81724671622380672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202144343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49567 + ... + 53489.

It is an arithmetic number, because the mean of its divisors is an integer number (8387550).

Almost surely, 2202144344 is an apocalyptic number.

202144344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268401600).

202144344 is an abundant number, since it is smaller than the sum of its proper divisors (334658856).

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

202144344 is a wasteful number, since it uses less digits than its factorization.

202144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 202144344 is about 14217.7475009229. The cubic root of 202144344 is about 586.8861555334.

Adding to 202144344 its reverse (443441202), we get a palindrome (645585546).

The spelling of 202144344 in words is "two hundred two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 113 114 152 226 228 339 452 456 678 904 1356 2147 2712 3923 4294 6441 7846 8588 11769 12882 15692 17176 23538 25764 31384 47076 51528 74537 94152 149074 223611 298148 443299 447222 596296 886598 894444 1329897 1773196 1788888 2659794 3546392 5319588 8422681 10639176 16845362 25268043 33690724 50536086 67381448 101072172 202144344