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226405077240 = 233517569195049
BaseRepresentation
bin1101001011011011001…
…0110101000011111000
3210122101120002120221010
43102312302311003320
512202134144432430
6252001542313520
722233346255326
oct3226662650370
9718346076833
10226405077240
1188021844591
1237a667288a0
1318471991134
14ad5acdcd16
155d51690cb0
hex34b6cb50f8

226405077240 has 128 divisors (see below), whose sum is σ = 720436680000. Its totient is φ = 56723079168.

The previous prime is 226405077229. The next prime is 226405077251. The reversal of 226405077240 is 42770504622.

It is a happy number.

226405077240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226405077229) and next prime (226405077251).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063236 + ... + 1258284.

Almost surely, 2226405077240 is an apocalyptic number.

226405077240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226405077240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360218340000).

226405077240 is an abundant number, since it is smaller than the sum of its proper divisors (494031602760).

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

226405077240 is a wasteful number, since it uses less digits than its factorization.

226405077240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195649 (or 195645 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 226405077240 in words is "two hundred twenty-six billion, four hundred five million, seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 569 680 1020 1138 1707 2040 2276 2845 3414 4552 5690 6828 8535 9673 11380 13656 17070 19346 22760 29019 34140 38692 48365 58038 68280 77384 96730 116076 145095 193460 195049 232152 290190 386920 390098 580380 585147 780196 975245 1160760 1170294 1560392 1950490 2340588 2925735 3315833 3900980 4681176 5851470 6631666 7801960 9947499 11702940 13263332 16579165 19894998 23405880 26526664 33158330 39789996 49737495 66316660 79579992 99474990 110982881 132633320 198949980 221965762 332948643 397899960 443931524 554914405 665897286 887863048 1109828810 1331794572 1664743215 1886708977 2219657620 2663589144 3329486430 3773417954 4439315240 5660126931 6658972860 7546835908 9433544885 11320253862 13317945720 15093671816 18867089770 22640507724 28300634655 37734179540 45281015448 56601269310 75468359080 113202538620 226405077240