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222041343030 = 235133834313449
BaseRepresentation
bin1100111011001010110…
…0100000010000110110
3210020010102221220221120
43032302230200100312
512114220040434110
6250000540324410
722020251163213
oct3166254402066
9706112856846
10222041343030
1186192605481
1237049243706
1317c278b80a0
14aa65544b0a
155b9851c870
hex33b2b20436

222041343030 has 128 divisors (see below), whose sum is σ = 576892108800. Its totient is φ = 54371374080.

The previous prime is 222041343011. The next prime is 222041343049. The reversal of 222041343030 is 30343140222.

It is an interprime number because it is at equal distance from previous prime (222041343011) and next prime (222041343049).

It is a super-2 number, since 2×2220413430302 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 64376746 + ... + 64380194.

It is an arithmetic number, because the mean of its divisors is an integer number (4506969600).

Almost surely, 2222041343030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222041343030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288446054400).

222041343030 is an abundant number, since it is smaller than the sum of its proper divisors (354850765770).

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

222041343030 is a wasteful number, since it uses less digits than its factorization.

222041343030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 222041343030 its reverse (30343140222), we get a palindrome (252384483252).

The spelling of 222041343030 in words is "two hundred twenty-two billion, forty-one million, three hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 383 390 431 766 862 1149 1293 1915 2155 2298 2586 3449 3830 4310 4979 5603 5745 6465 6898 9958 10347 11206 11490 12930 14937 16809 17245 20694 24895 28015 29874 33618 34490 44837 49790 51735 56030 74685 84045 89674 103470 134511 149370 165073 168090 224185 269022 330146 448370 495219 672555 825365 990438 1320967 1345110 1486519 1650730 2145949 2476095 2641934 2973038 3962901 4291898 4459557 4952190 6437847 6604835 7432595 7925802 8919114 10729745 12875694 13209670 14865190 17172571 19324747 19814505 21459490 22297785 32189235 34345142 38649494 39629010 44595570 51517713 57974241 64378470 85862855 96623735 103035426 115948482 171725710 193247470 257588565 289871205 515177130 569336777 579742410 1138673554 1708010331 2846683885 3416020662 5693367770 7401378101 8540051655 14802756202 17080103310 22204134303 37006890505 44408268606 74013781010 111020671515 222041343030