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202204034001 = 32192934578831
BaseRepresentation
bin1011110001010001001…
…1001011001111010001
3201022220221120012202100
42330110103023033101
511303103213042001
6232520302111013
720415542634054
oct2742423131721
9638827505670
10202204034001
11788329a6602
123323187b469
13160b5b339c8
149b02acca9b
1553d6bdb586
hex2f144cb3d1

202204034001 has 48 divisors (see below), whose sum is σ = 309204080640. Its totient is φ = 126979073280.

The previous prime is 202204033961. The next prime is 202204034017. The reversal of 202204034001 is 100430402202.

202204034001 is a `hidden beast` number, since 2 + 0 + 220 + 40 + 3 + 400 + 1 = 666.

202204034001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202204034001 - 27 = 202204033873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202204034401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22892656 + ... + 22901486.

It is an arithmetic number, because the mean of its divisors is an integer number (6441751680).

Almost surely, 2202204034001 is an apocalyptic number.

It is an amenable number.

202204034001 is a deficient number, since it is larger than the sum of its proper divisors (107000046639).

202204034001 is a wasteful number, since it uses less digits than its factorization.

202204034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202204034001 its reverse (100430402202), we get a palindrome (302634436203).

The spelling of 202204034001 in words is "two hundred two billion, two hundred four million, thirty-four thousand, one".

Divisors: 1 3 9 19 57 171 293 457 879 1371 2637 4113 5567 8683 8831 16701 26049 26493 50103 78147 79479 133901 167789 401703 503367 1205109 1510101 2544119 2587483 4035767 7632357 7762449 12107301 22897071 23287347 36321903 49162177 76679573 147486531 230038719 442459593 690116157 1182479731 3547439193 10642317579 22467114889 67401344667 202204034001