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150214000 = 2453195967
BaseRepresentation
bin10001111010000…
…01010101110000
3101110122122212111
420331001111300
5301423322000
622523335104
73502540456
oct1075012560
9343578774
10150214000
1177879002
1242381494
1325175431
1415d429d6
15d2c2cba
hex8f41570

150214000 has 160 divisors (see below), whose sum is σ = 394617600. Its totient is φ = 55123200.

The previous prime is 150213991. The next prime is 150214013. The reversal of 150214000 is 412051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2241967 + ... + 2242033.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2150214000 is an apocalyptic number.

150214000 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 150214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

150214000 is an abundant number, since it is smaller than the sum of its proper divisors (244403600).

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

150214000 is a wasteful number, since it uses less digits than its factorization.

150214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 150214000 is about 12256.1821135295. The cubic root of 150214000 is about 531.5818411178.

Adding to 150214000 its reverse (412051), we get a palindrome (150626051).

The spelling of 150214000 in words is "one hundred fifty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 59 67 76 80 95 100 118 125 134 152 190 200 236 250 268 295 304 335 380 400 472 475 500 536 590 670 760 944 950 1000 1072 1121 1180 1273 1340 1475 1520 1675 1900 2000 2242 2360 2375 2546 2680 2950 3350 3800 3953 4484 4720 4750 5092 5360 5605 5900 6365 6700 7375 7600 7906 8375 8968 9500 10184 11210 11800 12730 13400 14750 15812 16750 17936 19000 19765 20368 22420 23600 25460 26800 28025 29500 31624 31825 33500 38000 39530 44840 50920 56050 59000 63248 63650 67000 75107 79060 89680 98825 101840 112100 118000 127300 134000 140125 150214 158120 159125 197650 224200 254600 280250 300428 316240 318250 375535 395300 448400 494125 509200 560500 600856 636500 751070 790600 988250 1121000 1201712 1273000 1502140 1581200 1877675 1976500 2242000 2546000 3004280 3755350 3953000 6008560 7510700 7906000 9388375 15021400 18776750 30042800 37553500 75107000 150214000