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2221402041198 = 23543721114741
BaseRepresentation
bin100000010100110101111…
…000010010101101101110
321212100211022211212200000
4200110311320102231232
5242343412410304243
64420255323045130
7316330261542444
oct40246570225556
97770738755600
102221402041198
117871005a433a
122ba6330707a6
13131628872a42
147973313ab94
153cbb53175d3
hex20535e12b6e

2221402041198 has 96 divisors (see below), whose sum is σ = 5108429918592. Its totient is φ = 723097821600.

The previous prime is 2221402041197. The next prime is 2221402041263. The reversal of 2221402041198 is 8911402041222.

2221402041198 is a `hidden beast` number, since 2 + 2 + 21 + 402 + 0 + 41 + 198 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221402041193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150688108 + ... + 150702848.

It is an arithmetic number, because the mean of its divisors is an integer number (53212811652).

Almost surely, 22221402041198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221402041198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554214959296).

2221402041198 is an abundant number, since it is smaller than the sum of its proper divisors (2887027877394).

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

2221402041198 is a wasteful number, since it uses less digits than its factorization.

2221402041198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22012 (or 22000 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2221402041198 in words is "two trillion, two hundred twenty-one billion, four hundred two million, forty-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 2322 3483 6966 7211 10449 14422 14741 20898 21633 29482 43266 44223 64899 88446 129798 132669 194697 265338 310073 389394 398007 584091 620146 633863 796014 930219 1168182 1194021 1267726 1752273 1860438 1901589 2388042 2790657 3504546 3582063 3803178 5581314 5704767 7164126 8371971 11409534 16743942 17114301 25115913 34228602 50231826 51342903 75347739 102685806 106297351 150695478 154028709 212594702 308057418 318892053 637784106 956676159 1913352318 2870028477 4570786093 5740056954 8610085431 9141572186 13712358279 17220170862 25830256293 27424716558 41137074837 51660512586 82274149674 123411224511 246822449022 370233673533 740467347066 1110701020599 2221402041198