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226111325400 = 233252177389259
BaseRepresentation
bin1101001010010101001…
…0010000010011011000
3210121122002100110011100
43102211102100103120
512201033444403100
6251512450231400
722223151361062
oct3224522202330
9717562313140
10226111325400
1187990a48474
12379a4285560
1318425b7028c
14ad2dcb4732
155d359b8400
hex34a54904d8

226111325400 has 144 divisors (see below), whose sum is σ = 804025380600. Its totient is φ = 56749501440.

The previous prime is 226111325381. The next prime is 226111325467. The reversal of 226111325400 is 4523111622.

226111325400 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 113 + 2 + 540 + 0 = 666.

It is a super-2 number, since 2×2261113254002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3664030 + ... + 3725229.

Almost surely, 2226111325400 is an apocalyptic number.

226111325400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226111325400 is an abundant number, since it is smaller than the sum of its proper divisors (577914055200).

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

226111325400 is a wasteful number, since it uses less digits than its factorization.

226111325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389298 (or 7389286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 226111325400 in words is "two hundred twenty-six billion, one hundred eleven million, three hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 7389259 14778518 22167777 29557036 36946295 44335554 59114072 66503331 73892590 88671108 110838885 125617403 133006662 147785180 177342216 184731475 221677770 251234806 266013324 295570360 332516655 369462950 376852209 443355540 502469612 532026648 554194425 628087015 665033310 738925900 753704418 886711080 1004939224 1108388850 1130556627 1256174030 1330066620 1477851800 1507408836 1662583275 1884261045 2216777700 2261113254 2512348060 2660133240 3014817672 3140435075 3325166550 3768522090 4433555400 4522226508 5024696120 5652783135 6280870150 6650333100 7537044180 9044453016 9421305225 11305566270 12561740300 13300666200 15074088360 18842610450 22611132540 25123480600 28263915675 37685220900 45222265080 56527831350 75370441800 113055662700 226111325400