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226121724040 = 23588124372633
BaseRepresentation
bin1101001010010111100…
…1111011000010001000
3210121122210220202102011
43102211321323002020
512201044130132130
6251513501145304
722223335640602
oct3224571730210
9717583822364
10226121724040
1187996900093
12379a785b234
1318428071414
14ad31420172
155d3686e52a
hex34a5e7b088

226121724040 has 64 divisors (see below), whose sum is σ = 509753910960. Its totient is φ = 90274652160.

The previous prime is 226121723963. The next prime is 226121724047. The reversal of 226121724040 is 40427121622.

It can be written as a sum of positive squares in 8 ways, for example, as 77238414724 + 148883309316 = 277918^2 + 385854^2 .

It is a super-2 number, since 2×2261217240402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226121723993 and 226121724011.

It is not an unprimeable number, because it can be changed into a prime (226121724047) 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, 85878564 + ... + 85881196.

Almost surely, 2226121724040 is an apocalyptic number.

226121724040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226121724040 is an abundant number, since it is smaller than the sum of its proper divisors (283632186920).

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

226121724040 is a wasteful number, since it uses less digits than its factorization.

226121724040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 226121724040 its reverse (40427121622), we get a palindrome (266548845662).

The spelling of 226121724040 in words is "two hundred twenty-six billion, one hundred twenty-one million, seven hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 881 1762 2437 2633 3524 4405 4874 5266 7048 8810 9748 10532 12185 13165 17620 19496 21064 24370 26330 35240 48740 52660 97480 105320 2146997 2319673 4293994 4639346 6416621 8587988 9278692 10734985 11598365 12833242 17175976 18557384 21469970 23196730 25666484 32083105 42939940 46393460 51332968 64166210 85879880 92786920 128332420 256664840 5653043101 11306086202 22612172404 28265215505 45224344808 56530431010 113060862020 226121724040