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2158007148 = 22321153229449
BaseRepresentation
bin1000000010100000…
…1001001101101100
312120101200010021200
42000220021031230
513404422212043
6554045325500
7104322521013
oct20050111554
95511603250
102158007148
11a08158790
12502866890
1328511aa0b
14166869a7a
15c96c47d3
hex80a0936c

2158007148 has 144 divisors (see below), whose sum is σ = 6103188000. Its totient is φ = 637378560.

The previous prime is 2158007141. The next prime is 2158007153. The reversal of 2158007148 is 8417008512.

2158007148 is a `hidden beast` number, since 2 + 1 + 580 + 0 + 71 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2158007141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4806028 + ... + 4806476.

It is an arithmetic number, because the mean of its divisors is an integer number (42383250).

Almost surely, 22158007148 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 2158007148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051594000).

2158007148 is an abundant number, since it is smaller than the sum of its proper divisors (3945180852).

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

2158007148 is a wasteful number, since it uses less digits than its factorization.

2158007148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2158007148 is about 46454.3555331467. The cubic root of 2158007148 is about 1292.2631482259.

The spelling of 2158007148 in words is "two billion, one hundred fifty-eight million, seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 229 318 396 449 458 477 583 636 687 898 916 954 1166 1347 1374 1749 1796 1908 2061 2332 2519 2694 2748 3498 4041 4122 4939 5038 5247 5388 6996 7557 8082 8244 9878 10076 10494 12137 14817 15114 16164 19756 20988 22671 23797 24274 29634 30228 36411 44451 45342 47594 48548 59268 71391 72822 88902 90684 95188 102821 109233 133507 142782 145644 177804 205642 214173 218466 261767 267014 285564 308463 400521 411284 428346 436932 523534 534028 616926 785301 801042 856692 925389 1047068 1131031 1201563 1233852 1570602 1602084 1850778 2262062 2355903 2403126 3141204 3393093 3701556 4524124 4711806 4806252 5449513 6786186 9423612 10179279 10899026 13572372 16348539 20358558 21798052 32697078 40717116 49045617 59944643 65394156 98091234 119889286 179833929 196182468 239778572 359667858 539501787 719335716 1079003574 2158007148