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2253047436 = 2232194376603
BaseRepresentation
bin1000011001001010…
…1100011010001100
312211000111200001100
42012102230122030
514103240004221
61011322343100
7106555405263
oct20622543214
95730450040
102253047436
11a56871982
1252a65aa90
1329ba15b83
141753295da
15d2be9926
hex864ac68c

2253047436 has 72 divisors (see below), whose sum is σ = 6134448320. Its totient is φ = 694933344.

The previous prime is 2253047411. The next prime is 2253047443. The reversal of 2253047436 is 6347403522.

2253047436 is a `hidden beast` number, since 22 + 530 + 4 + 74 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2253047436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890 + ... + 67713.

Almost surely, 22253047436 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 2253047436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067224160).

2253047436 is an abundant number, since it is smaller than the sum of its proper divisors (3881400884).

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

2253047436 is a wasteful number, since it uses less digits than its factorization.

2253047436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76675 (or 76670 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2253047436 is about 47466.2768289235. The cubic root of 2253047436 is about 1310.9620258957.

The spelling of 2253047436 in words is "two billion, two hundred fifty-three million, forty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4902 7353 9804 14706 29412 76603 153206 229809 306412 459618 689427 919236 1378854 1455457 2757708 2910914 3293929 4366371 5821828 6587858 8732742 9881787 13099113 13175716 17465484 19763574 26198226 29645361 39527148 52396452 59290722 62584651 118581444 125169302 187753953 250338604 375507906 563261859 751015812 1126523718 2253047436