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224032132002 = 237172741114473
BaseRepresentation
bin1101000010100101011…
…0110000101110100010
3210102021011222111000110
43100221112300232202
512132304211211002
6250530254032150
722120503462540
oct3205126605642
9712234874013
10224032132002
1187014330718
1237503aa8656
1318184188a23
14abb3ac2d90
155c631b0e6c
hex34295b0ba2

224032132002 has 64 divisors (see below), whose sum is σ = 542397959424. Its totient is φ = 60221429760.

The previous prime is 224032131949. The next prime is 224032132031. The reversal of 224032132002 is 200231230422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 224032132002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899838 + ... + 2014310.

It is an arithmetic number, because the mean of its divisors is an integer number (8474968116).

Almost surely, 2224032132002 is an apocalyptic number.

224032132002 is an abundant number, since it is smaller than the sum of its proper divisors (318365827422).

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

224032132002 is a wasteful number, since it uses less digits than its factorization.

224032132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117243.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 224032132002 its reverse (200231230422), we get a palindrome (424263362424).

The spelling of 224032132002 in words is "two hundred twenty-four billion, thirty-two million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 2741 5482 8223 16446 19187 38374 46597 57561 93194 114473 115122 139791 228946 279582 326179 343419 652358 686838 801311 978537 1602622 1946041 1957074 2403933 3892082 4807866 5838123 11676246 13622287 27244574 40866861 81733722 313770493 627540986 941311479 1882622958 2196393451 4392786902 5334098381 6589180353 10668196762 13178360706 16002295143 32004590286 37338688667 74677377334 112016066001 224032132002