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221200114432 = 2811109720653
BaseRepresentation
bin1100111000000010001…
…1011110001100000000
3210010221211001002020211
43032000203132030000
512111004212130212
6245341250043504
721660354643543
oct3160043361400
9703854032224
10221200114432
11858a0774a30
1236a53579594
1317b2252b39b
14a9c592685a
155b4974e9a7
hex33808de300

221200114432 has 72 divisors (see below), whose sum is σ = 486095536080. Its totient is φ = 99622932480.

The previous prime is 221200114409. The next prime is 221200114441. The reversal of 221200114432 is 234411002122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53383 + ... + 667270.

It is an arithmetic number, because the mean of its divisors is an integer number (6751326890).

Almost surely, 2221200114432 is an apocalyptic number.

221200114432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221200114432 is an abundant number, since it is smaller than the sum of its proper divisors (264895421648).

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

221200114432 is a wasteful number, since it uses less digits than its factorization.

221200114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720789 (or 720775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 221200114432 its reverse (234411002122), we get a palindrome (455611116554).

The spelling of 221200114432 in words is "two hundred twenty-one billion, two hundred million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 256 352 436 704 872 1199 1408 1744 2398 2816 3488 4796 6976 9592 13952 19184 27904 38368 76736 153472 306944 720653 1441306 2882612 5765224 7927183 11530448 15854366 23060896 31708732 46121792 63417464 78551177 92243584 126834928 157102354 184487168 253669856 314204708 507339712 628409416 864062947 1014679424 1256818832 1728125894 2029358848 2513637664 3456251788 5027275328 6912503576 10054550656 13825007152 20109101312 27650014304 55300028608 110600057216 221200114432