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2264356226020 = 2257179471004657
BaseRepresentation
bin100000111100110110001…
…001100000001111100100
322000110200212201112220011
4200330312021200033210
5244044400143213040
64452121512220004
7322410600231130
oct40746611401744
98013625645804
102264356226020
117a3343070139
12306a2039a604
131356b2988155
147b849bc63c0
153dd7b3433ea
hex20f362603e4

2264356226020 has 96 divisors (see below), whose sum is σ = 5760210661632. Its totient is φ = 729910714368.

The previous prime is 2264356225919. The next prime is 2264356226039. The reversal of 2264356226020 is 206226534622.

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, 1751532 + ... + 2756188.

It is an arithmetic number, because the mean of its divisors is an integer number (60002194392).

Almost surely, 22264356226020 is an apocalyptic number.

2264356226020 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 2264356226020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880105330816).

2264356226020 is an abundant number, since it is smaller than the sum of its proper divisors (3495854435612).

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

2264356226020 is a wasteful number, since it uses less digits than its factorization.

2264356226020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005637 (or 1005635 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 2264356226020 in words is "two trillion, two hundred sixty-four billion, three hundred fifty-six million, two hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 947 1190 1894 2380 3788 4735 6629 9470 13258 16099 18940 26516 32198 33145 64396 66290 80495 112693 132580 160990 225386 321980 450772 563465 1004657 1126930 2009314 2253860 4018628 5023285 7032599 10046570 14065198 17079169 20093140 28130396 34158338 35162995 68316676 70325990 85395845 119554183 140651980 170791690 239108366 341583380 478216732 597770915 951410179 1195541830 1902820358 2391083660 3805640716 4757050895 6659871253 9514101790 13319742506 16173973043 19028203580 26639485012 32347946086 33299356265 64695892172 66598712530 80869865215 113217811301 133197425060 161739730430 226435622602 323479460860 452871245204 566089056505 1132178113010 2264356226020