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2292001487152 = 241333139438443
BaseRepresentation
bin100001010110100101111…
…011110011100100110000
322010010001112011022210121
4201112211323303210300
5300023004340042102
64512533030140024
7324406635123106
oct41264573634460
98103045138717
102292001487152
1180403a0a5a93
123102567b1614
1313819a250a30
147cd0d5d3c76
153e948386b37
hex215a5ef3930

2292001487152 has 80 divisors (see below), whose sum is σ = 4798582259968. Its totient is φ = 1054258571520.

The previous prime is 2292001487129. The next prime is 2292001487197. The reversal of 2292001487152 is 2517841002922.

2292001487152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22920014871522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2292001487099 and 2292001487108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271463443 + ... + 271471885.

Almost surely, 22292001487152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292001487152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399291129984).

2292001487152 is an abundant number, since it is smaller than the sum of its proper divisors (2506580772816).

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

2292001487152 is a wasteful number, since it uses less digits than its factorization.

2292001487152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 2292001487152 in words is "two trillion, two hundred ninety-two billion, one million, four hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 331 662 1324 2648 3943 4303 5296 7886 8443 8606 15772 16886 17212 31544 33772 34424 51259 63088 67544 68848 102518 109759 135088 205036 219518 410072 439036 820144 878072 1305133 1756144 2610266 2794633 5220532 5589266 10441064 11178532 16966729 20882128 22357064 33290749 33933458 36330229 44714128 66581498 67866916 72660458 133162996 135733832 145320916 266325992 271467664 290641832 432779737 532651984 581283664 865559474 1731118948 3462237896 6924475792 11019237919 22038475838 44076951676 88153903352 143250092947 176307806704 286500185894 573000371788 1146000743576 2292001487152