Search a number
-
+
2233053234412 = 227311132875519
BaseRepresentation
bin100000011111101100010…
…110000100010011101100
321220110220022121211001121
4200133230112010103230
5243041243112000122
64425503412350324
7320222066212000
oct40375426042354
97813808554047
102233053234412
1179103a376240
123009450153a4
1313276467b500
147a11a6bc700
153d148137bc7
hex207ec5844ec

2233053234412 has 144 divisors (see below), whose sum is σ = 5383397376000. Its totient is φ = 803095151040.

The previous prime is 2233053234383. The next prime is 2233053234427. The reversal of 2233053234412 is 2144323503322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2112789 + ... + 2988307.

It is an arithmetic number, because the mean of its divisors is an integer number (37384704000).

Almost surely, 22233053234412 is an apocalyptic number.

2233053234412 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 2233053234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691698688000).

2233053234412 is an abundant number, since it is smaller than the sum of its proper divisors (3150344141588).

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

2233053234412 is a wasteful number, since it uses less digits than its factorization.

2233053234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875581 (or 875552 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 2233053234412 its reverse (2144323503322), we get a palindrome (4377376737734).

The spelling of 2233053234412 in words is "two trillion, two hundred thirty-three billion, fifty-three million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 169 182 196 286 308 338 343 364 539 572 637 676 686 1001 1078 1183 1274 1372 1859 2002 2156 2366 2548 3718 3773 4004 4459 4732 7007 7436 7546 8281 8918 13013 14014 15092 16562 17836 26026 28028 33124 49049 52052 57967 91091 98098 115934 182182 196196 231868 364364 637637 875519 1275274 1751038 2550548 3502076 6128633 9630709 11381747 12257266 19261418 22763494 24514532 38522836 42900431 45526988 67414963 79672229 85800862 125199217 134829926 147962711 159344458 171601724 250398434 269659852 295925422 300303017 318688916 471904741 500796868 557705603 591850844 600606034 876394519 943809482 1035738977 1115411206 1201212068 1627589821 1752789038 1887618964 2071477954 2230822412 3255179642 3303333187 3505578076 3903939221 4142955908 6134761633 6510359284 6606666374 7250172839 7807878442 11393128747 12269523266 13213332748 14500345678 15615756884 22786257494 24539046532 29000691356 42943331431 45572514988 50751209873 79751901229 85886662862 101502419746 159503802458 171773325724 203004839492 319007604916 558263308603 1116526617206 2233053234412