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202420296 = 23341324029
BaseRepresentation
bin11000001000010…
…11000001001000
3112002220000110000
430010023001020
5403304422141
632030323000
75005354431
oct1404130110
9462800400
10202420296
11a4296401
1257959460
1332c23b30
141cc52488
1512b865b6
hexc10b048

202420296 has 80 divisors (see below), whose sum is σ = 610602300. Its totient is φ = 62280576.

The previous prime is 202420291. The next prime is 202420301. The reversal of 202420296 is 692024202.

It is an interprime number because it is at equal distance from previous prime (202420291) and next prime (202420301).

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 6812100 = 13986^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (202420291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3591 + ... + 20438.

Almost surely, 2202420296 is an apocalyptic number.

202420296 is a gapful number since it is divisible by the number (26) 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 202420296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305301150).

202420296 is an abundant number, since it is smaller than the sum of its proper divisors (408182004).

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

202420296 is a wasteful number, since it uses less digits than its factorization.

202420296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24060 (or 24047 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202420296 is about 14227.4486820371. The cubic root of 202420296 is about 587.1530914697.

Adding to 202420296 its reverse (692024202), we get a palindrome (894444498).

The spelling of 202420296 in words is "two hundred two million, four hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 24029 48058 72087 96116 144174 192232 216261 288348 312377 432522 576696 624754 648783 865044 937131 1249508 1297566 1730088 1874262 1946349 2499016 2595132 2811393 3748524 3892698 5190264 5622786 7497048 7785396 8434179 11245572 15570792 16868358 22491144 25302537 33736716 50605074 67473432 101210148 202420296