Search a number
-
+
221412442112274 = 237171912789358207
BaseRepresentation
bin110010010101111110011001…
…111101100000000100010010
31002000221211012210010011002010
4302111332121331200010102
5213010110140140043044
62102523245520003350
764431343502241330
oct6225763175400422
91060854183104063
10221412442112274
11646045423a8796
12209bb26aa60556
139671146aa899a
143c965c2ab2b50
151a8e6a4536bb9
hexc95f99f60112

221412442112274 has 128 divisors (see below), whose sum is σ = 538689413578752. Its totient is φ = 59224614312960.

The previous prime is 221412442112263. The next prime is 221412442112287. The reversal of 221412442112274 is 472211244214122.

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, 3803850879 + ... + 3803909085.

It is an arithmetic number, because the mean of its divisors is an integer number (4208511043584).

Almost surely, 2221412442112274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221412442112274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269344706789376).

221412442112274 is an abundant number, since it is smaller than the sum of its proper divisors (317276971466478).

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

221412442112274 is a wasteful number, since it uses less digits than its factorization.

221412442112274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86320.

The product of its digits is 114688, while the sum is 39.

Adding to 221412442112274 its reverse (472211244214122), we get a palindrome (693623686326396).

The spelling of 221412442112274 in words is "two hundred twenty-one trillion, four hundred twelve billion, four hundred forty-two million, one hundred twelve thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 191 238 357 382 573 714 1146 1337 2674 3247 4011 6494 8022 9741 19482 22729 27893 45458 55786 58207 68187 83679 116414 136374 167358 174621 195251 349242 390502 407449 474181 585753 814898 948362 989519 1171506 1222347 1422543 1979038 2444694 2845086 2968557 3319267 5327563 5937114 6638534 6926633 9957801 10655126 11117537 13853266 15982689 19915602 20779899 22235074 31965378 33352611 37292941 41559798 66705222 74585882 77822759 90568571 111878823 155645518 181137142 188998129 223757646 233468277 271705713 377996258 466936554 543411426 566994387 633979997 1133988774 1267959994 1322986903 1623567851 1901939991 2645973806 3247135702 3803879982 3968960709 4870703553 7937921418 9741407106 11364974957 22729949914 27600653467 34094924871 55201306934 68189849742 82801960401 165603920802 193204574269 310101459541 386409148538 579613722807 620202919082 930304378623 1159227445614 1860608757246 2170710216787 4341420433574 5271724812197 6512130650361 10543449624394 13024261300722 15815174436591 31630348873182 36902073685379 73804147370758 110706221056137 221412442112274