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200233343332002 = 231723374353646107
BaseRepresentation
bin101101100001110001110101…
…010011010010111010100010
3222020222010020222021111202010
4231201301311103102322202
5202221110341343111002
61545505532242533350
760114244624026141
oct5541616523227242
9866863228244663
10200233343332002
1158889536269382
121a55a691667256
138795c005177b6
1437634ba1a9758
1518237de8ee46c
hexb61c754d2ea2

200233343332002 has 128 divisors (see below), whose sum is σ = 464985580713984. Its totient is φ = 57103490239488.

The previous prime is 200233343331943. The next prime is 200233343332031.

It is a happy number.

200233343332002 is nontrivially palindromic in base 10.

200233343332002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002333433320022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23090568 + ... + 30555539.

It is an arithmetic number, because the mean of its divisors is an integer number (3632699849328).

Almost surely, 2200233343332002 is an apocalyptic number.

200233343332002 is an abundant number, since it is smaller than the sum of its proper divisors (264752237381982).

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

200233343332002 is a wasteful number, since it uses less digits than its factorization.

200233343332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53646232.

The product of its (nonzero) digits is 46656, while the sum is 30.

The spelling of 200233343332002 in words is "two hundred trillion, two hundred thirty-three billion, three hundred forty-three million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 17 23 34 37 43 46 51 69 74 86 102 111 129 138 222 258 391 629 731 782 851 989 1173 1258 1462 1591 1702 1887 1978 2193 2346 2553 2967 3182 3774 4386 4773 5106 5934 9546 14467 16813 27047 28934 33626 36593 43401 50439 54094 73186 81141 86802 100878 109779 162282 219558 622081 1244162 1866243 3732486 53646107 107292214 160938321 321876642 911983819 1233860461 1823967638 1984905959 2306782601 2467720922 2735951457 3701581383 3969811918 4613565202 5471902914 5954717877 6920347803 7403162766 11909435754 13840695606 20975627837 33743401303 39215304217 41951255674 45652837057 53055999823 62926883511 67486802606 78430608434 85350956237 91305674114 101230203909 106111999646 117645912651 125853767022 136958511171 159167999469 170701912474 202460407818 235291825302 256052868711 273917022342 318335998938 512105737422 776098229969 901951996991 1450966256029 1552196459938 1803903993982 1963071993451 2328294689907 2705855990973 2901932512058 3926143986902 4352898768087 4656589379814 5411711981946 5889215980353 8705797536174 11778431960706 33372223888667 66744447777334 100116671666001 200233343332002