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234214690920 = 233571716401589
BaseRepresentation
bin1101101000100001001…
…0001001000001101000
3211101112211021001220020
43122020102021001220
512314132430102140
6255332521400440
722631026011330
oct3321022110150
9741484231806
10234214690920
119036a0a5971
1239486039120
1319117934a12
14b49c1a80c0
15615c0d06d0
hex3688489068

234214690920 has 128 divisors (see below), whose sum is σ = 850258425600. Its totient is φ = 50385678336.

The previous prime is 234214690909. The next prime is 234214690933. The reversal of 234214690920 is 29096412432.

It is a super-2 number, since 2×2342146909202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8186515 + ... + 8215074.

It is an arithmetic number, because the mean of its divisors is an integer number (6642643950).

Almost surely, 2234214690920 is an apocalyptic number.

234214690920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234214690920 is an abundant number, since it is smaller than the sum of its proper divisors (616043734680).

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

234214690920 is a wasteful number, since it uses less digits than its factorization.

234214690920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401627 (or 16401623 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 234214690920 in words is "two hundred thirty-four billion, two hundred fourteen million, six hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 16401589 32803178 49204767 65606356 82007945 98409534 114811123 131212712 164015890 196819068 229622246 246023835 278827013 328031780 344433369 393638136 459244492 492047670 557654026 574055615 656063560 688866738 836481039 918488984 984095340 1115308052 1148111230 1377733476 1394135065 1672962078 1722166845 1951789091 1968190680 2230616104 2296222460 2755466952 2788270130 3345924156 3444333690 3903578182 4182405195 4592444920 5576540260 5855367273 6691848312 6888667380 7807156364 8364810390 9758945455 11153080520 11710734546 13777334760 15614312728 16729620780 19517890910 23421469092 29276836365 33459241560 39035781820 46842938184 58553672730 78071563640 117107345460 234214690920