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226262046000 = 2435337710341
BaseRepresentation
bin1101001010111001000…
…1001101010100110000
3210122000120221211221210
43102232101031110300
512201341040433000
6251535432520120
722226661441534
oct3225621152460
9718016854853
10226262046000
1187a59032051
1237a26850040
131844b162173
14ad45d09bc4
155d43d3b350
hex34ae44d530

226262046000 has 80 divisors (see below), whose sum is σ = 729468855648. Its totient is φ = 60336544000.

The previous prime is 226262045969. The next prime is 226262046019. The reversal of 226262046000 is 640262622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2262620460002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18849171 + ... + 18861170.

Almost surely, 2226262046000 is an apocalyptic number.

226262046000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226262046000 is an abundant number, since it is smaller than the sum of its proper divisors (503206809648).

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

226262046000 is a wasteful number, since it uses less digits than its factorization.

226262046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37710367 (or 37710351 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 226262046000 in words is "two hundred twenty-six billion, two hundred sixty-two million, forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 37710341 75420682 113131023 150841364 188551705 226262046 301682728 377103410 452524092 565655115 603365456 754206820 905048184 942758525 1131310230 1508413640 1810096368 1885517050 2262620460 2828275575 3016827280 3771034100 4525240920 4713792625 5656551150 7542068200 9050481840 9427585250 11313102300 14141377875 15084136400 18855170500 22626204600 28282755750 37710341000 45252409200 56565511500 75420682000 113131023000 226262046000