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148022600 = 235211611103
BaseRepresentation
bin10001101001010…
…10010101001000
3101022112022211112
420310222111020
5300343210400
622404345452
73445112525
oct1064522510
9338468745
10148022600
1176611630
12416a5288
1324888b4b
141593214c
15cedd835
hex8d2a548

148022600 has 96 divisors (see below), whose sum is σ = 381939840. Its totient is φ = 52896000.

The previous prime is 148022593. The next prime is 148022617. The reversal of 148022600 is 6220841.

It is a super-2 number, since 2×1480226002 = 43821380221520000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 133649 + ... + 134751.

It is an arithmetic number, because the mean of its divisors is an integer number (3978540).

Almost surely, 2148022600 is an apocalyptic number.

148022600 is a gapful number since it is divisible by the number (10) 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 148022600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190969920).

148022600 is an abundant number, since it is smaller than the sum of its proper divisors (233917240).

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

148022600 is a wasteful number, since it uses less digits than its factorization.

148022600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 148022600 is about 12166.4538794178. The cubic root of 148022600 is about 528.9841702995.

The spelling of 148022600 in words is "one hundred forty-eight million, twenty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1103 1220 1342 1525 2200 2206 2440 2684 3050 3355 4412 5368 5515 6100 6710 8824 11030 12133 12200 13420 16775 22060 24266 26840 27575 33550 44120 48532 55150 60665 67100 67283 97064 110300 121330 134200 134566 220600 242660 269132 303325 336415 485320 538264 606650 672830 740113 1213300 1345660 1480226 1682075 2426600 2691320 2960452 3364150 3700565 5920904 6728300 7401130 13456600 14802260 18502825 29604520 37005650 74011300 148022600