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226335453744 = 24347233343003
BaseRepresentation
bin1101001011001010100…
…1001111001000110000
3210122012201002100110010
43102302221033020300
512202013334004434
6251551014134520
722231542420351
oct3226251171060
9718181070403
10226335453744
1187a96510404
1237a47351440
1318460424aba
14ad51977d28
155d4a4db9e9
hex34b2a4f230

226335453744 has 80 divisors (see below), whose sum is σ = 597410191872. Its totient is φ = 73806568704.

The previous prime is 226335453737. The next prime is 226335453781. The reversal of 226335453744 is 447354533622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 226335453693 and 226335453702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5241747 + ... + 5284749.

Almost surely, 2226335453744 is an apocalyptic number.

226335453744 is a gapful number since it is divisible by the number (24) 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 226335453744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298705095936).

226335453744 is an abundant number, since it is smaller than the sum of its proper divisors (371074738128).

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

226335453744 is a wasteful number, since it uses less digits than its factorization.

226335453744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45394 (or 45388 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 48.

The spelling of 226335453744 in words is "two hundred twenty-six billion, three hundred thirty-five million, four hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 2333 4666 6999 9332 13998 18664 27996 37328 43003 55992 86006 109651 111984 129009 172012 219302 258018 328953 344024 438604 516036 657906 688048 877208 1032072 1315812 1754416 2021141 2064144 2631624 4042282 5263248 6063423 8084564 12126846 16169128 24253692 32338256 48507384 97014768 100325999 200651998 300977997 401303996 601955994 802607992 1203911988 1605215984 2407823976 4715321953 4815647952 9430643906 14145965859 18861287812 28291931718 37722575624 56583863436 75445151248 113167726872 226335453744