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221112211104 = 253485305637
BaseRepresentation
bin1100110111101101010…
…0001001011010100000
3210010201200122010120000
43031323110021122200
512110314211223404
6245324430020000
721655236532611
oct3157324113240
9703650563500
10221112211104
1185856095954
1236a2a047600
1317b0a261895
14a9b7da3c08
155b41b89339
hex337b5096a0

221112211104 has 60 divisors (see below), whose sum is σ = 650284878474. Its totient is φ = 73704069504.

The previous prime is 221112211097. The next prime is 221112211109. The reversal of 221112211104 is 401112211122.

It can be written as a sum of positive squares in only one way, i.e., 220948882704 + 163328400 = 470052^2 + 12780^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221112211109) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42650227 + ... + 42655410.

Almost surely, 2221112211104 is an apocalyptic number.

221112211104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221112211104 is an abundant number, since it is smaller than the sum of its proper divisors (429172667370).

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

221112211104 is an equidigital number, since it uses as much as digits as its factorization.

221112211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85305659 (or 85305642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112211104 its sum of digits (18), we get a palindrome (221112211122).

Adding to 221112211104 its reverse (401112211122), we get a palindrome (622224422226).

The spelling of 221112211104 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 85305637 170611274 255916911 341222548 511833822 682445096 767750733 1023667644 1364890192 1535501466 2047335288 2303252199 2729780384 3071002932 4094670576 4606504398 6142005864 6909756597 8189341152 9213008796 12284011728 13819513194 18426017592 24568023456 27639026388 36852035184 55278052776 73704070368 110556105552 221112211104