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211166622040 = 23511232907229
BaseRepresentation
bin1100010010101010000…
…0101111000101011000
3202012001120020212012111
43010222200233011120
511424432123401130
6241001505322104
721153622446253
oct3045240570530
9665046225174
10211166622040
1181612064660
1234b13336334
1316bb391543a
14a31316609a
15575d97802a
hex312a82f158

211166622040 has 96 divisors (see below), whose sum is σ = 541834045200. Its totient is φ = 73449178880.

The previous prime is 211166622013. The next prime is 211166622047. The reversal of 211166622040 is 40226661112.

It is a happy number.

211166622040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211166621993 and 211166622011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211166622047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220855 + ... + 686374.

Almost surely, 2211166622040 is an apocalyptic number.

211166622040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211166622040 is an abundant number, since it is smaller than the sum of its proper divisors (330667423160).

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

211166622040 is a wasteful number, since it uses less digits than its factorization.

211166622040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907297 (or 907270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 211166622040 in words is "two hundred eleven billion, one hundred sixty-six million, six hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 529 920 1012 1058 1265 2024 2116 2530 2645 4232 5060 5290 5819 10120 10580 11638 21160 23276 29095 46552 58190 116380 232760 907229 1814458 3628916 4536145 7257832 9072290 9979519 18144580 19959038 20866267 36289160 39918076 41732534 49897595 79836152 83465068 99795190 104331335 166930136 199590380 208662670 229528937 399180760 417325340 459057874 479924141 834650680 918115748 959848282 1147644685 1836231496 1919696564 2295289370 2399620705 3839393128 4590578740 4799241410 5279165551 9181157480 9598482820 10558331102 19196965640 21116662204 26395827755 42233324408 52791655510 105583311020 211166622040