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202422144 = 2731513491
BaseRepresentation
bin11000001000010…
…11011110000000
3112002220002222110
430010023132000
5403310002034
632030335320
75005363011
oct1404133600
9462802873
10202422144
11a4297831
125795a540
1332c24922
141cc53008
1512b86de9
hexc10b780

202422144 has 64 divisors (see below), whose sum is σ = 541399680. Its totient is φ = 67008000.

The previous prime is 202422139. The next prime is 202422151. The reversal of 202422144 is 441224202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 202422144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56239 + ... + 59729.

It is an arithmetic number, because the mean of its divisors is an integer number (8459370).

Almost surely, 2202422144 is an apocalyptic number.

202422144 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 202422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270699840).

202422144 is an abundant number, since it is smaller than the sum of its proper divisors (338977536).

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

202422144 is a wasteful number, since it uses less digits than its factorization.

202422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 202422144 is about 14227.5136267726. The cubic root of 202422144 is about 587.1548782727.

Adding to 202422144 its reverse (441224202), we get a palindrome (643646346).

It can be divided in two parts, 202422 and 144, that added together give a triangular number (202566 = T636).

The spelling of 202422144 in words is "two hundred two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3491 3624 4832 6982 7248 9664 10473 13964 14496 19328 20946 27928 28992 41892 55856 57984 83784 111712 167568 223424 335136 446848 527141 670272 1054282 1340544 1581423 2108564 3162846 4217128 6325692 8434256 12651384 16868512 25302768 33737024 50605536 67474048 101211072 202422144