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222241240890 = 233517443109297
BaseRepresentation
bin1100111011111010011…
…1000011011100111010
3210020122101002210021000
43032332213003130322
512120122224202030
6250032441025430
722025226243624
oct3167647033472
9706571083230
10222241240890
1186285428719
12370a4185276
1317c5a137a46
14aa83cdbc14
155baad56860
hex33be9c373a

222241240890 has 128 divisors (see below), whose sum is σ = 628926923520. Its totient is φ = 55651774464.

The previous prime is 222241240889. The next prime is 222241240919. The reversal of 222241240890 is 98042142222.

222241240890 is a `hidden beast` number, since 2 + 2 + 2 + 241 + 2 + 408 + 9 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978722 + ... + 2088018.

It is an arithmetic number, because the mean of its divisors is an integer number (4913491590).

Almost surely, 2222241240890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222241240890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314463461760).

222241240890 is an abundant number, since it is smaller than the sum of its proper divisors (406685682630).

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

222241240890 is a wasteful number, since it uses less digits than its factorization.

222241240890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109773 (or 109767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 222241240890 in words is "two hundred twenty-two billion, two hundred forty-one million, two hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 443 459 510 765 886 918 1329 1530 2215 2295 2658 3987 4430 4590 6645 7531 7974 11961 13290 15062 19935 22593 23922 37655 39870 45186 59805 67779 75310 109297 112965 119610 135558 203337 218594 225930 327891 338895 406674 546485 655782 677790 983673 1016685 1092970 1639455 1858049 1967346 2033370 2951019 3278910 3716098 4918365 5574147 5902038 9290245 9836730 11148294 14755095 16722441 18580490 27870735 29510190 33444882 48418571 50167323 55741470 83612205 96837142 100334646 145255713 167224410 242092855 250836615 290511426 435767139 484185710 501673230 726278565 823115707 871534278 1307301417 1452557130 1646231414 2178835695 2469347121 2614602834 4115578535 4357671390 4938694242 6536507085 7408041363 8231157070 12346735605 13073014170 14816082726 22224124089 24693471210 37040206815 44448248178 74080413630 111120620445 222241240890