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35152022000 = 2453171915413
BaseRepresentation
bin100000101111001110…
…010100100111110000
310100201210201201220202
4200233032110213300
51033442404201000
624052033454332
72353046154104
oct405716244760
9110653651822
1035152022000
11139a9444457
1269904113a8
133412880024
1419b679d904
15dab0addd5
hex82f3949f0

35152022000 has 160 divisors (see below), whose sum is σ = 90485351424. Its totient is φ = 13161984000.

The previous prime is 35152021987. The next prime is 35152022021. The reversal of 35152022000 is 22025153.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 6491294 + ... + 6496706.

Almost surely, 235152022000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35152022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45242675712).

35152022000 is an abundant number, since it is smaller than the sum of its proper divisors (55333329424).

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

35152022000 is a wasteful number, since it uses less digits than its factorization.

35152022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 35152022000 its reverse (22025153), we get a palindrome (35174047153).

The spelling of 35152022000 in words is "thirty-five billion, one hundred fifty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 191 200 250 272 340 382 400 425 500 680 764 850 955 1000 1360 1528 1700 1910 2000 2125 3056 3247 3400 3820 4250 4775 5413 6494 6800 7640 8500 9550 10826 12988 15280 16235 17000 19100 21652 23875 25976 27065 32470 34000 38200 43304 47750 51952 54130 64940 76400 81175 86608 92021 95500 108260 129880 135325 162350 184042 191000 216520 259760 270650 324700 368084 382000 405875 433040 460105 541300 649400 676625 736168 811750 920210 1033883 1082600 1298800 1353250 1472336 1623500 1840420 2067766 2165200 2300525 2706500 3247000 3680840 4135532 4601050 5169415 5413000 6494000 7361680 8271064 9202100 10338830 10826000 11502625 16542128 17576011 18404200 20677660 23005250 25847075 35152022 36808400 41355320 46010500 51694150 70304044 82710640 87880055 92021000 103388300 129235375 140608088 175760110 184042000 206776600 258470750 281216176 351520220 413553200 439400275 516941500 703040440 878800550 1033883000 1406080880 1757601100 2067766000 2197001375 3515202200 4394002750 7030404400 8788005500 17576011000 35152022000