Search a number
-
+
229742170944 = 2631113411271607
BaseRepresentation
bin1101010111110110110…
…0110101001101000000
3210222000010102111220020
43111331230311031000
512231002443432234
6253313032013440
722412140142436
oct3257554651500
9728003374806
10229742170944
1189484514470
1238638231280
13188841601b0
14b1961b2d56
155e9961e549
hex357db35340

229742170944 has 448 divisors, whose sum is σ = 737765425152. Its totient is φ = 62163763200.

The previous prime is 229742170939. The next prime is 229742170949. The reversal of 229742170944 is 449071247922.

It is an interprime number because it is at equal distance from previous prime (229742170939) and next prime (229742170949).

It is a super-2 number, since 2×2297421709442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229742170949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142962589 + ... + 142964195.

It is an arithmetic number, because the mean of its divisors is an integer number (1646797824).

Almost surely, 2229742170944 is an apocalyptic number.

229742170944 is a gapful number since it is divisible by the number (24) 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 229742170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368882712576).

229742170944 is an abundant number, since it is smaller than the sum of its proper divisors (508023254208).

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

229742170944 is a wasteful number, since it uses less digits than its factorization.

229742170944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 229742170944 in words is "two hundred twenty-nine billion, seven hundred forty-two million, one hundred seventy thousand, nine hundred forty-four".