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34227706150 = 25211971913359
BaseRepresentation
bin11111111000001000…
…010101100100100110
310021100101110121221101
4133320020111210212
51030044243044100
623420214310314
72321123462521
oct377010254446
9107311417841
1034227706150
1113574714260
12677295839a
1332c6221981
141929b13bb8
15d54d7c86a
hex7f8215926

34227706150 has 96 divisors (see below), whose sum is σ = 70555484160. Its totient is φ = 12249984000.

The previous prime is 34227706129. The next prime is 34227706171. The reversal of 34227706150 is 5160772243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34227706129) and next prime (34227706171).

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 47 ways as a sum of consecutive naturals, for example, 10188171 + ... + 10191529.

It is an arithmetic number, because the mean of its divisors is an integer number (734952960).

Almost surely, 234227706150 is an apocalyptic number.

34227706150 is an abundant number, since it is smaller than the sum of its proper divisors (36327778010).

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

34227706150 is a wasteful number, since it uses less digits than its factorization.

34227706150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 34227706150 in words is "thirty-four billion, two hundred twenty-seven million, seven hundred six thousand, one hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 97 110 191 194 275 382 485 550 955 970 1067 1910 2101 2134 2425 3359 4202 4775 4850 5335 6718 9550 10505 10670 16795 18527 21010 26675 33590 36949 37054 52525 53350 73898 83975 92635 105050 167950 184745 185270 203797 325823 369490 407594 463175 641569 651646 923725 926350 1018985 1283138 1629115 1847450 2037970 3207845 3258230 3584053 5094925 6415690 7057259 7168106 8145575 10189850 14114518 16039225 16291150 17920265 32078450 35286295 35840530 62232193 70572590 89601325 124464386 176431475 179202650 311160965 352862950 622321930 684554123 1369108246 1555804825 3111609650 3422770615 6845541230 17113853075 34227706150