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226445131000 = 235311101203821
BaseRepresentation
bin1101001011100100101…
…1100111110011111000
3210122111100110112100201
43102321023213303320
512202224423143000
6252005533011544
722234343566204
oct3227113476370
9718440415321
10226445131000
1188042411570
1237a78023bb4
131847a07629a
14ad62367b04
155d54e5396a
hex34b92e7cf8

226445131000 has 128 divisors (see below), whose sum is σ = 583778819520. Its totient is φ = 81528000000.

The previous prime is 226445130983. The next prime is 226445131013. The reversal of 226445131000 is 131544622.

It is a super-2 number, since 2×2264451310002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226445131000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009090 + ... + 1212910.

Almost surely, 2226445131000 is an apocalyptic number.

226445131000 is a gapful number since it is divisible by the number (20) 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 226445131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291889409760).

226445131000 is an abundant number, since it is smaller than the sum of its proper divisors (357333688520).

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

226445131000 is a wasteful number, since it uses less digits than its factorization.

226445131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203954 (or 203940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 226445131000 its reverse (131544622), we get a palindrome (226576675622).

The spelling of 226445131000 in words is "two hundred twenty-six billion, four hundred forty-five million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 203821 222200 277750 407642 555500 815284 1019105 1111000 1630568 2038210 2242031 4076420 4484062 5095525 8152840 8968124 10191050 11210155 17936248 20382100 20585921 22420310 25477625 40764200 41171842 44840620 50955250 56050775 82343684 89681240 101910500 102929605 112101550 164687368 203821000 205859210 224203100 226445131 280253875 411718420 448406200 452890262 514648025 560507750 823436840 905780524 1029296050 1121015500 1132225655 1811561048 2058592100 2242031000 2264451310 2573240125 4117184200 4528902620 5146480250 5661128275 9057805240 10292960500 11322256550 20585921000 22644513100 28305641375 45289026200 56611282750 113222565500 226445131000