Search a number
-
+
2250352035540 = 2232573943452953
BaseRepresentation
bin100000101111110011011…
…011110000011011010100
321222010112220100222001200
4200233303123300123110
5243332210110114130
64441444125552500
7321403551460350
oct40576333603324
97863486328050
102250352035540
1179840706a5a4
12304172415730
1313429053cacb
147acbbd3c460
153d80bb83760
hex20bf36f06d4

2250352035540 has 144 divisors (see below), whose sum is σ = 7803216115968. Its totient is φ = 514234593792.

The previous prime is 2250352035517. The next prime is 2250352035553. The reversal of 2250352035540 is 455302530522.

2250352035540 is a `hidden beast` number, since 2 + 2 + 50 + 3 + 52 + 0 + 3 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2250352035495 and 2250352035504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741704 + ... + 5194656.

Almost surely, 22250352035540 is an apocalyptic number.

2250352035540 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 2250352035540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901608057984).

2250352035540 is an abundant number, since it is smaller than the sum of its proper divisors (5552864080428).

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

2250352035540 is a wasteful number, since it uses less digits than its factorization.

2250352035540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456918 (or 456913 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 2250352035540 in words is "two trillion, two hundred fifty billion, three hundred fifty-two million, thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3943 7886 11829 15772 19715 23658 27601 35487 39430 47316 55202 59145 70974 78860 82803 110404 118290 138005 141948 165606 177435 236580 248409 276010 331212 354870 414015 452953 496818 552020 709740 828030 905906 993636 1242045 1358859 1656060 1811812 2264765 2484090 2717718 3170671 4076577 4529530 4968180 5435436 6341342 6794295 8153154 9059060 9512013 12682684 13588590 15853355 16306308 19024026 20382885 27177180 28536039 31706710 38048052 40765770 47560065 57072078 63413420 81531540 95120130 114144156 142680195 190240260 285360390 570720780 1785993679 3571987358 5357981037 7143974716 8929968395 10715962074 12501955753 16073943111 17859936790 21431924148 25003911506 26789905185 32147886222 35719873580 37505867259 50007823012 53579810370 62509778765 64295772444 75011734518 80369715555 107159620740 112517601777 125019557530 150023469036 160739431110 187529336295 225035203554 250039115060 321478862220 375058672590 450070407108 562588008885 750117345180 1125176017770 2250352035540