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226021705721040 = 24354925319120807
BaseRepresentation
bin110011011001000011000111…
…011110110010010011010000
31002122021110112021202222202110
4303121003013132302103100
5214111114423131033130
62120412534351345320
765415346366415265
oct6331030736622320
91078243467688673
10226021705721040
11660212a3562269
122142462bb22240
1399169a87aa908
143db571a6cb26c
151b1e52375cab0
hexcd90c77b24d0

226021705721040 has 80 divisors (see below), whose sum is σ = 700681550260608. Its totient is φ = 60271227975168.

The previous prime is 226021705720997. The next prime is 226021705721041. The reversal of 226021705721040 is 40127507120622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2260217057210402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226021705721040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226021705721041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2260317 + ... + 21381123.

Almost surely, 2226021705721040 is an apocalyptic number.

226021705721040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226021705721040 is an abundant number, since it is smaller than the sum of its proper divisors (474659844539568).

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

226021705721040 is a wasteful number, since it uses less digits than its factorization.

226021705721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19170076 (or 19170070 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 226021705721040 in words is "two hundred twenty-six trillion, twenty-one billion, seven hundred five million, seven hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 49253 98506 147759 197012 246265 295518 394024 492530 591036 738795 788048 985060 1182072 1477590 1970120 2364144 2955180 3940240 5910360 11820720 19120807 38241614 57362421 76483228 95604035 114724842 152966456 191208070 229449684 286812105 305932912 382416140 458899368 573624210 764832280 917798736 1147248420 1529664560 2294496840 4588993680 941757107171 1883514214342 2825271321513 3767028428684 4708785535855 5650542643026 7534056857368 9417571071710 11301085286052 14126356607565 15068113714736 18835142143420 22602170572104 28252713215130 37670284286840 45204341144208 56505426430260 75340568573680 113010852860520 226021705721040