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226252233088 = 2772276713037
BaseRepresentation
bin1101001010110110101…
…1110001100110000000
3210121222220111022011121
43102231223301212000
512201331032424323
6251534442322024
722226512151500
oct3225553614600
9717886438147
10226252233088
1187a5353a502
1237a234b9314
13184491077cb
14ad448b3a00
155d4304da5d
hex34adaf1980

226252233088 has 96 divisors (see below), whose sum is σ = 524556289440. Its totient is φ = 96922764288.

The previous prime is 226252233017. The next prime is 226252233131. The reversal of 226252233088 is 880332252622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17348106 + ... + 17361142.

It is an arithmetic number, because the mean of its divisors is an integer number (5464128015).

Almost surely, 2226252233088 is an apocalyptic number.

226252233088 is a gapful number since it is divisible by the number (28) 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 226252233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262278144720).

226252233088 is an abundant number, since it is smaller than the sum of its proper divisors (298304056352).

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

226252233088 is a wasteful number, since it uses less digits than its factorization.

226252233088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15813 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 226252233088 in words is "two hundred twenty-six billion, two hundred fifty-two million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 2767 3136 5534 6272 11068 13037 19369 22136 26074 38738 44272 52148 77476 88544 91259 104296 135583 154952 177088 182518 208592 271166 309904 354176 365036 417184 542332 619808 638813 730072 834368 1084664 1239616 1277626 1460144 1668736 2169328 2479232 2555252 2920288 4338656 5110504 5840576 8677312 10221008 11681152 17354624 20442016 36073379 40884032 72146758 81768064 144293516 252513653 288587032 505027306 577174064 1010054612 1154348128 1767595571 2020109224 2308696256 3535191142 4040218448 4617392512 7070382284 8080436896 14140764568 16160873792 28281529136 32321747584 56563058272 113126116544 226252233088