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149224000 = 265323811
BaseRepresentation
bin10001110010011…
…11101001000000
3101101210100211211
420321033221000
5301200132000
622450215504
73461245252
oct1071175100
9341710754
10149224000
1177262222
1241b84594
1324bb9933
1415b65cd2
15d1797ba
hex8e4fa40

149224000 has 112 divisors (see below), whose sum is σ = 386096256. Its totient is φ = 57024000.

The previous prime is 149223989. The next prime is 149224001. The reversal of 149224000 is 422941.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149224001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183595 + ... + 184405.

It is an arithmetic number, because the mean of its divisors is an integer number (3447288).

Almost surely, 2149224000 is an apocalyptic number.

149224000 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 149224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048128).

149224000 is an abundant number, since it is smaller than the sum of its proper divisors (236872256).

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

149224000 is an equidigital number, since it uses as much as digits as its factorization.

149224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 149224000 is about 12215.7275673617. The cubic root of 149224000 is about 530.4114521830.

Adding to 149224000 its reverse (422941), we get a palindrome (149646941).

The spelling of 149224000 in words is "one hundred forty-nine million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 811 920 1000 1150 1472 1600 1622 1840 2000 2300 2875 3244 3680 4000 4055 4600 5750 6488 7360 8000 8110 9200 11500 12976 16220 18400 18653 20275 23000 25952 32440 36800 37306 40550 46000 51904 64880 74612 81100 92000 93265 101375 129760 149224 162200 184000 186530 202750 259520 298448 324400 373060 405500 466325 596896 648800 746120 811000 932650 1193792 1297600 1492240 1622000 1865300 2331625 2984480 3244000 3730600 4663250 5968960 6488000 7461200 9326500 14922400 18653000 29844800 37306000 74612000 149224000