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226451700864 = 2733334719577
BaseRepresentation
bin1101001011100110010…
…0101011110010000000
3210122111210211022112000
43102321210223302000
512202233113411424
6252010325504000
722234453461264
oct3227144536200
9718453738460
10226451700864
1188046099604
1237a7a272000
131847b53678c
14ad631980a4
155d558003c9
hex34b992bc80

226451700864 has 128 divisors (see below), whose sum is σ = 668580868800. Its totient is φ = 75457492992.

The previous prime is 226451700841. The next prime is 226451700929. The reversal of 226451700864 is 468007154622.

It is a tau number, because it is divible by the number of its divisors (128).

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, 11557444 + ... + 11577020.

Almost surely, 2226451700864 is an apocalyptic number.

226451700864 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 226451700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334290434400).

226451700864 is an abundant number, since it is smaller than the sum of its proper divisors (442129167936).

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

226451700864 is a wasteful number, since it uses less digits than its factorization.

226451700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22947 (or 22929 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 226451700864 in words is "two hundred twenty-six billion, four hundred fifty-one million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3347 3456 6694 10041 13388 19577 20082 26776 30123 39154 40164 53552 58731 60246 78308 80328 90369 107104 117462 120492 156616 160656 176193 180738 214208 234924 240984 313232 321312 352386 361476 428416 469848 481968 528579 626464 642624 704772 722952 939696 963936 1057158 1252928 1285248 1409544 1445904 1879392 1927872 2114316 2505856 2819088 2891808 3758784 3855744 4228632 5638176 5783616 7517568 8457264 11276352 11567232 16914528 22552704 33829056 65524219 67658112 131048438 196572657 262096876 393145314 524193752 589717971 786290628 1048387504 1179435942 1572581256 1769153913 2096775008 2358871884 3145162512 3538307826 4193550016 4717743768 6290325024 7076615652 8387100032 9435487536 12580650048 14153231304 18870975072 25161300096 28306462608 37741950144 56612925216 75483900288 113225850432 226451700864