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2124266440 = 23561870601
BaseRepresentation
bin111111010011101…
…1011101111001000
312111001011220201211
41332213123233020
513322303011230
6550442222504
7103432652422
oct17647335710
95431156654
102124266440
119a01028aa
124b34b4a34
1327b1361ba
141621a5812
15c675c42a
hex7e9dbbc8

2124266440 has 32 divisors (see below), whose sum is σ = 4857959160. Its totient is φ = 835776000.

The previous prime is 2124266429. The next prime is 2124266479. The reversal of 2124266440 is 446624212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1184598724 + 939667716 = 34418^2 + 30654^2 .

It is a super-2 number, since 2×21242664402 = 9025015816220547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432861 + ... + 437740.

Almost surely, 22124266440 is an apocalyptic number.

2124266440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124266440 is an abundant number, since it is smaller than the sum of its proper divisors (2733692720).

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

2124266440 is a wasteful number, since it uses less digits than its factorization.

2124266440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870673 (or 870669 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2124266440 is about 46089.7650243522. The cubic root of 2124266440 is about 1285.4928418855.

The spelling of 2124266440 in words is "two billion, one hundred twenty-four million, two hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 870601 1741202 3482404 4353005 6964808 8706010 17412020 34824040 53106661 106213322 212426644 265533305 424853288 531066610 1062133220 2124266440