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200233442112 = 26311431219971
BaseRepresentation
bin1011101001111011010…
…1111101101101000000
3201010211121112202212120
42322132311331231000
511240034230121422
6231552545324240
720315654114154
oct2723665755500
9633747482776
10200233442112
1177a11615770
1232981936680
1315b607b50c2
1499970cb064
15531dbd745c
hex2e9ed7db40

200233442112 has 112 divisors (see below), whose sum is σ = 579290102784. Its totient is φ = 60535744000.

The previous prime is 200233442099. The next prime is 200233442117. The reversal of 200233442112 is 211244332002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200233442117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800287 + ... + 1020257.

Almost surely, 2200233442112 is an apocalyptic number.

200233442112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200233442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289645051392).

200233442112 is an abundant number, since it is smaller than the sum of its proper divisors (379056660672).

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

200233442112 is a wasteful number, since it uses less digits than its factorization.

200233442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220428 (or 220418 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200233442112 its reverse (211244332002), we get a palindrome (411477774114).

The spelling of 200233442112 in words is "two hundred billion, two hundred thirty-three million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 431 528 704 862 1056 1293 1724 2112 2586 3448 4741 5172 6896 9482 10344 13792 14223 18964 20688 27584 28446 37928 41376 56892 75856 82752 113784 151712 219971 227568 303424 439942 455136 659913 879884 910272 1319826 1759768 2419681 2639652 3519536 4839362 5279304 7039072 7259043 9678724 10558608 14078144 14518086 19357448 21117216 29036172 38714896 42234432 58072344 77429792 94807501 116144688 154859584 189615002 232289376 284422503 379230004 464578752 568845006 758460008 1042882511 1137690012 1516920016 2085765022 2275380024 3033840032 3128647533 4171530044 4550760048 6067680064 6257295066 8343060088 9101520096 12514590132 16686120176 18203040192 25029180264 33372240352 50058360528 66744480704 100116721056 200233442112