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226031127724440 = 233253112018856089
BaseRepresentation
bin110011011001001011111001…
…000100111000000110011000
31002122022100211220221100121100
4303121023321010320012120
5214111243222144140230
62120421133325511400
765416132025213043
oct6331137104700630
91078270756840540
10226031127724440
1166025298a87935
122142641b412560
13991784a80475c
143db5d71b93c5a
151b1e8c59e7660
hexcd92f9138198

226031127724440 has 96 divisors (see below), whose sum is σ = 736963227093600. Its totient is φ = 60081157178880.

The previous prime is 226031127724433. The next prime is 226031127724453. The reversal of 226031127724440 is 44427721130622.

226031127724440 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 3 + 112 + 77 + 24 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009316085 + ... + 1009540004.

It is an arithmetic number, because the mean of its divisors is an integer number (7676700282225).

Almost surely, 2226031127724440 is an apocalyptic number.

226031127724440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226031127724440 is an abundant number, since it is smaller than the sum of its proper divisors (510932099369160).

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

226031127724440 is a wasteful number, since it uses less digits than its factorization.

226031127724440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018856417 (or 2018856410 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 226031127724440 in words is "two hundred twenty-six trillion, thirty-one billion, one hundred twenty-seven million, seven hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 933 1244 1555 1866 2488 2799 3110 3732 4665 5598 6220 7464 9330 11196 12440 13995 18660 22392 27990 37320 55980 111960 2018856089 4037712178 6056568267 8075424356 10094280445 12113136534 16150848712 18169704801 20188560890 24226273068 30282841335 36339409602 40377121780 48452546136 60565682670 72678819204 80754243560 90848524005 121131365340 145357638408 181697048010 242262730680 363394096020 627864243679 726788192040 1255728487358 1883592731037 2511456974716 3139321218395 3767185462074 5022913949432 5650778193111 6278642436790 7534370924148 9417963655185 11301556386222 12557284873580 15068741848296 18835927310370 22603112772444 25114569747160 28253890965555 37671854620740 45206225544888 56507781931110 75343709241480 113015563862220 226031127724440