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234220135890 = 235132943148049
BaseRepresentation
bin1101101000100010011…
…0111010010111010010
3211101120012111200222210
43122020212322113102
512314140323322030
6255333234212550
722631123210016
oct3321046722722
9741505450883
10234220135890
1190372184844
1239487a24156
1319118ac01b0
14b49cbc4546
15615c808bb0
hex36889ba5d2

234220135890 has 128 divisors (see below), whose sum is σ = 627709824000. Its totient is φ = 55535800320.

The previous prime is 234220135889. The next prime is 234220135907. The reversal of 234220135890 is 98531022432.

234220135890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4850586 + ... + 4898634.

It is an arithmetic number, because the mean of its divisors is an integer number (4903983000).

Almost surely, 2234220135890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234220135890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313854912000).

234220135890 is an abundant number, since it is smaller than the sum of its proper divisors (393489688110).

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

234220135890 is a wasteful number, since it uses less digits than its factorization.

234220135890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48532.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 234220135890 in words is "two hundred thirty-four billion, two hundred twenty million, one hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 431 435 754 862 870 1131 1293 1885 2155 2262 2586 3770 4310 5603 5655 6465 11206 11310 12499 12930 16809 24998 28015 33618 37497 48049 56030 62495 74994 84045 96098 124990 144147 162487 168090 187485 240245 288294 324974 374970 480490 487461 624637 720735 812435 974922 1249274 1393421 1441470 1624870 1873911 2437305 2786842 3123185 3747822 4180263 4874610 6246370 6967105 8360526 9369555 13934210 18114473 18739110 20709119 20901315 36228946 41418238 41802630 54343419 62127357 90572365 103545595 108686838 124254714 181144730 207091190 269218547 271717095 310636785 538437094 543434190 600564451 621273570 807655641 1201128902 1346092735 1615311282 1801693353 2692185470 3002822255 3603386706 4038278205 6005644510 7807337863 8076556410 9008466765 15614675726 18016933530 23422013589 39036689315 46844027178 78073378630 117110067945 234220135890