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354042120222 = 23275038636473
BaseRepresentation
bin1010010011011101000…
…11100000100000011110
31020211211210201011220100
411021232203200200132
521300034240321342
6430351131201530
734402331240220
oct5115643404036
91224753634810
10354042120222
1112716a60207a
1258747ba62a6
132750314993b
14131c862c410
159321d48e4c
hex526e8e081e

354042120222 has 96 divisors (see below), whose sum is σ = 879572348928. Its totient is φ = 100821230208.

The previous prime is 354042120199. The next prime is 354042120301. The reversal of 354042120222 is 222021240453.

354042120222 is a `hidden beast` number, since 35 + 4 + 0 + 421 + 202 + 2 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 54691978 + ... + 54698450.

It is an arithmetic number, because the mean of its divisors is an integer number (9162211968).

Almost surely, 2354042120222 is an apocalyptic number.

354042120222 is an abundant number, since it is smaller than the sum of its proper divisors (525530228706).

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

354042120222 is a wasteful number, since it uses less digits than its factorization.

354042120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 354042120222 its reverse (222021240453), we get a palindrome (576063360675).

The spelling of 354042120222 in words is "three hundred fifty-four billion, forty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 503 863 1006 1509 1726 2589 3018 3521 4527 5178 6041 6473 7042 7767 9054 10563 12082 12946 15534 18123 19419 21126 31689 36246 38838 45311 54369 58257 63378 90622 108738 116514 135933 271866 407799 434089 815598 868178 1302267 2604534 3038623 3255919 3906801 5586199 6077246 6511838 7813602 9115869 9767757 11172398 16758597 18231738 19535514 22791433 27347607 29303271 33517194 39103393 45582866 50275791 54695214 58606542 68374299 78206786 100551582 117310179 136748598 205122897 234620358 351930537 410245794 703861074 2809858097 5619716194 8429574291 16859148582 19669006679 25288722873 39338013358 50577445746 59007020037 118014040074 177021060111 354042120222