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20231136 = 2532199353
BaseRepresentation
bin100110100101…
…1001111100000
31102001211220100
41031023033200
520134344021
62001342400
7333650622
oct115131740
942054810
1020231136
1110468a52
126937a00
1342646b3
142988c12
151b99626
hex134b3e0

20231136 has 72 divisors (see below), whose sum is σ = 57985200. Its totient is φ = 6690816.

The previous prime is 20231129. The next prime is 20231137. The reversal of 20231136 is 63113202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231137) 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, 57136 + ... + 57488.

It is an arithmetic number, because the mean of its divisors is an integer number (805350).

Almost surely, 220231136 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 20231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28992600).

20231136 is an abundant number, since it is smaller than the sum of its proper divisors (37754064).

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

20231136 is a wasteful number, since it uses less digits than its factorization.

20231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20231136 is about 4497.9035116374. The cubic root of 20231136 is about 272.4834251906.

Adding to 20231136 its reverse (63113202), we get a palindrome (83344338).

The spelling of 20231136 in words is "twenty million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 353 398 597 706 796 1059 1194 1412 1592 1791 2118 2388 2824 3177 3184 3582 4236 4776 5648 6354 6368 7164 8472 9552 11296 12708 14328 16944 19104 25416 28656 33888 50832 57312 70247 101664 140494 210741 280988 421482 561976 632223 842964 1123952 1264446 1685928 2247904 2528892 3371856 5057784 6743712 10115568 20231136