Search a number
-
+
147221568 = 26321319661
BaseRepresentation
bin10001100011001…
…10110001000000
3101021000122000200
420301212301000
5300142042233
622335245200
73435235254
oct1061466100
9337018020
10147221568
117611481a
1241379800
1324668370
14157a4264
15cdd1313
hex8c66c40

147221568 has 84 divisors (see below), whose sum is σ = 454467468. Its totient is φ = 45296640.

The previous prime is 147221537. The next prime is 147221629. The reversal of 147221568 is 865122741.

147221568 is a `hidden beast` number, since 1 + 4 + 72 + 21 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 97772544 = 7032^2 + 9888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2343 + ... + 17318.

It is an arithmetic number, because the mean of its divisors is an integer number (5410327).

Almost surely, 2147221568 is an apocalyptic number.

147221568 is a gapful number since it is divisible by the number (18) 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 147221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227233734).

147221568 is an abundant number, since it is smaller than the sum of its proper divisors (307245900).

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

147221568 is a wasteful number, since it uses less digits than its factorization.

147221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19692 (or 19679 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 147221568 is about 12133.4895228042. The cubic root of 147221568 is about 528.0282354047.

It can be divided in two parts, 14722 and 1568, that added together give a triangular number (16290 = T180).

The spelling of 147221568 in words is "one hundred forty-seven million, two hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 19661 39322 58983 78644 117966 157288 176949 235932 255593 314576 353898 471864 511186 629152 707796 766779 943728 1022372 1258304 1415592 1533558 1887456 2044744 2300337 2831184 3067116 3774912 4089488 4600674 5662368 6134232 8178976 9201348 11324736 12268464 16357952 18402696 24536928 36805392 49073856 73610784 147221568