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226080031104 = 2732196250027
BaseRepresentation
bin1101001010001101101…
…0111000000110000000
3210121112220110112110100
43102203122320012000
512201002441443404
6251505411402400
722222321362054
oct3224332700600
9717486415410
10226080031104
1187975313614
12379958b3400
131841c534145
14ad29a89c64
155d32d85d39
hex34a36b8180

226080031104 has 48 divisors (see below), whose sum is σ = 650568842820. Its totient is φ = 75360009984.

The previous prime is 226080031091. The next prime is 226080031123. The reversal of 226080031104 is 401130080622.

226080031104 is a `hidden beast` number, since 22 + 608 + 0 + 0 + 31 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2260800311042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98123862 + ... + 98126165.

Almost surely, 2226080031104 is an apocalyptic number.

226080031104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226080031104 is an abundant number, since it is smaller than the sum of its proper divisors (424488811716).

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

226080031104 is a wasteful number, since it uses less digits than its factorization.

226080031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196250047 (or 196250032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 226080031104 in words is "two hundred twenty-six billion, eighty million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 196250027 392500054 588750081 785000108 1177500162 1570000216 1766250243 2355000324 3140000432 3532500486 4710000648 6280000864 7065000972 9420001296 12560001728 14130001944 18840002592 25120003456 28260003888 37680005184 56520007776 75360010368 113040015552 226080031104