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148322664 = 23347191721
BaseRepresentation
bin10001101011100…
…11100101101000
3101100002120110000
420311303211220
5300432311124
622415023000
73450502410
oct1065634550
9340076400
10148322664
11767a7016
124180aa60
13249625b9
14159ad640
15d04c6c9
hex8d73968

148322664 has 160 divisors (see below), whose sum is σ = 500068800. Its totient is φ = 40124160.

The previous prime is 148322663. The next prime is 148322687. The reversal of 148322664 is 466223841.

148322664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1483226642 = 43999225312113792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148322663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85324 + ... + 87044.

It is an arithmetic number, because the mean of its divisors is an integer number (3125430).

Almost surely, 2148322664 is an apocalyptic number.

148322664 is a gapful number since it is divisible by the number (14) 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 148322664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250034400).

148322664 is an abundant number, since it is smaller than the sum of its proper divisors (351746136).

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

148322664 is a wasteful number, since it uses less digits than its factorization.

148322664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 148322664 is about 12178.7792491694. The cubic root of 148322664 is about 529.3413724448.

The spelling of 148322664 in words is "one hundred forty-eight million, three hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 1721 2052 2268 2394 3078 3192 3442 3591 4104 4536 4788 5163 6156 6884 7182 9576 10326 10773 12047 12312 13768 14364 15489 20652 21546 24094 28728 30978 32699 36141 41304 43092 46467 48188 61956 65398 72282 86184 92934 96376 98097 108423 123912 130796 139401 144564 185868 196194 216846 228893 261592 278802 289128 294291 325269 371736 392388 433692 457786 557604 588582 650538 686679 784776 867384 882873 915572 975807 1115208 1177164 1301076 1373358 1765746 1831144 1951614 2060037 2354328 2602152 2648619 2746716 3531492 3903228 4120074 5297238 5493432 6180111 7062984 7806456 8240148 10594476 12360222 16480296 18540333 21188952 24720444 37080666 49440888 74161332 148322664