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226456550352 = 243219401206407
BaseRepresentation
bin1101001011100111011…
…1001011101111010000
3210122112010221200202200
43102321313023233100
512202240334102402
6252011021443200
722234542626604
oct3227167135720
9718463850680
10226456550352
118804890104a
1237a7ba10500
131847c543bb6
14ad63a9b504
155d55e5c21c
hex34b9dcbbd0

226456550352 has 120 divisors (see below), whose sum is σ = 668786688960. Its totient is φ = 71333913600.

The previous prime is 226456550351. The next prime is 226456550389. The reversal of 226456550352 is 253055654622.

226456550352 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 565 + 50 + 35 + 2 = 666.

It is a super-2 number, since 2×2264565503522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226456550298 and 226456550307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226456550351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993933 + ... + 1200339.

It is an arithmetic number, because the mean of its divisors is an integer number (5573222408).

Almost surely, 2226456550352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226456550352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334393344480).

226456550352 is an abundant number, since it is smaller than the sum of its proper divisors (442330138608).

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

226456550352 is a wasteful number, since it uses less digits than its factorization.

226456550352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206841 (or 206832 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 226456550352 in words is "two hundred twenty-six billion, four hundred fifty-six million, five hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 401 456 684 802 912 1203 1368 1604 2406 2736 3208 3609 4812 6416 7218 7619 9624 14436 15238 19248 22857 28872 30476 45714 57744 60952 68571 91428 121904 137142 182856 206407 274284 365712 412814 548568 619221 825628 1097136 1238442 1651256 1857663 2476884 3302512 3715326 3921733 4953768 7430652 7843466 9907536 11765199 14861304 15686932 23530398 29722608 31373864 35295597 47060796 62747728 70591194 82769207 94121592 141182388 165538414 188243184 248307621 282364776 331076828 496615242 564729552 662153656 744922863 993230484 1324307312 1489845726 1572614933 1986460968 2979691452 3145229866 3972921936 4717844799 5959382904 6290459732 9435689598 11918765808 12580919464 14153534397 18871379196 25161838928 28307068794 37742758392 56614137588 75485516784 113228275176 226456550352