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212469226040 = 23514945778007
BaseRepresentation
bin1100010111100000100…
…1110001101000111000
3202022102100022222222002
43011320021301220320
511440114110213130
6241335040520132
721231120423461
oct3057011615070
9668370288862
10212469226040
1182120380295
1235217620048
1317060752736
14a3d8163d68
1557d7eceb45
hex3178271a38

212469226040 has 64 divisors (see below), whose sum is σ = 482323464000. Its totient is φ = 84231502848.

The previous prime is 212469225977. The next prime is 212469226061. The reversal of 212469226040 is 40622964212.

It is a super-2 number, since 2×2124692260402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212469225985 and 212469226003.

It is a congruent number.

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, 2684717 + ... + 2762723.

It is an arithmetic number, because the mean of its divisors is an integer number (7536304125).

Almost surely, 2212469226040 is an apocalyptic number.

212469226040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212469226040 is an abundant number, since it is smaller than the sum of its proper divisors (269854237960).

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

212469226040 is a wasteful number, since it uses less digits than its factorization.

212469226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78624 (or 78620 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 212469226040 in words is "two hundred twelve billion, four hundred sixty-nine million, two hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 457 596 745 914 1192 1490 1828 2285 2980 3656 4570 5960 9140 18280 68093 78007 136186 156014 272372 312028 340465 390035 544744 624056 680930 780070 1361860 1560140 2723720 3120280 11623043 23246086 35649199 46492172 58115215 71298398 92984344 116230430 142596796 178245995 232460860 285193592 356491990 464921720 712983980 1425967960 5311730651 10623461302 21246922604 26558653255 42493845208 53117306510 106234613020 212469226040