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2253535768 = 231123248409
BaseRepresentation
bin1000011001010010…
…0011101000011000
312211001102110220201
42012110203220120
514103401121033
61011341031544
7106562511061
oct20624435030
95731373821
102253535768
11a57075860
1252a8555b4
1329bb57223
14175415568
15d2c9447d
hex86523a18

2253535768 has 48 divisors (see below), whose sum is σ = 4818731400. Its totient is φ = 979777920.

The previous prime is 2253535763. The next prime is 2253535771. The reversal of 2253535768 is 8675353522.

It is a super-3 number, since 3×22535357683 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253535763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22348 + ... + 70756.

Almost surely, 22253535768 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 2253535768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409365700).

2253535768 is an abundant number, since it is smaller than the sum of its proper divisors (2565195632).

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

2253535768 is a wasteful number, since it uses less digits than its factorization.

2253535768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48472 (or 48445 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 46.

The square root of 2253535768 is about 47471.4205390991. The cubic root of 2253535768 is about 1311.0567329506.

The spelling of 2253535768 in words is "two billion, two hundred fifty-three million, five hundred thirty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 1012 1058 2024 2116 4232 5819 11638 23276 46552 48409 96818 193636 387272 532499 1064998 1113407 2129996 2226814 4259992 4453628 8907256 12247477 24494954 25608361 48989908 51216722 97979816 102433444 204866888 281691971 563383942 1126767884 2253535768