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226346613444 = 223272965347431
BaseRepresentation
bin1101001011001101001…
…1110011101011000100
3210122020111002022200100
43102303103303223010
512202024213112234
6251552053244100
722232036320050
oct3226323635304
9718214068610
10226346613444
1187aa18428a6
1237a4b033630
1318462831483
14ad53240c60
155d4b493399
hex34b34f3ac4

226346613444 has 144 divisors (see below), whose sum is σ = 677488331520. Its totient is φ = 62343509760.

The previous prime is 226346613439. The next prime is 226346613499. The reversal of 226346613444 is 444316643622.

226346613444 is a `hidden beast` number, since 2 + 2 + 634 + 6 + 6 + 1 + 3 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×2263466134442 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226346613444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4748409 + ... + 4795839.

It is an arithmetic number, because the mean of its divisors is an integer number (4704780080).

Almost surely, 2226346613444 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 226346613444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338744165760).

226346613444 is an abundant number, since it is smaller than the sum of its proper divisors (451141718076).

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

226346613444 is a wasteful number, since it uses less digits than its factorization.

226346613444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48130 (or 48125 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 226346613444 in words is "two hundred twenty-six billion, three hundred forty-six million, six hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 653 812 1044 1218 1306 1827 1959 2436 2612 3654 3918 4571 5877 7308 7836 9142 11754 13713 18284 18937 23508 27426 37874 41139 47431 54852 56811 75748 82278 94862 113622 132559 142293 164556 170433 189724 227244 265118 284586 332017 340866 397677 426879 530236 569172 664034 681732 795354 853758 996051 1193031 1328068 1375499 1590708 1707516 1992102 2386062 2750998 2988153 3984204 4126497 4772124 5501996 5976306 8252994 9628493 11952612 12379491 16505988 19256986 24758982 28885479 30972443 38513972 49517964 57770958 61944886 86656437 92917329 115541916 123889772 173312874 185834658 216807101 278751987 346625748 371669316 433614202 557503974 650421303 867228404 898200847 1115007948 1300842606 1796401694 1951263909 2601685212 2694602541 3592803388 3902527818 5389205082 6287405929 7805055636 8083807623 10778410164 12574811858 16167615246 18862217787 25149623716 32335230492 37724435574 56586653361 75448871148 113173306722 226346613444