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150220424000 = 265327767789
BaseRepresentation
bin1000101111100111010…
…1011100001101000000
3112100202010020012202102
42023321311130031000
54430122412032000
6153002121005532
713565413351553
oct2137165341500
9470663205672
10150220424000
1158787570a49
12251446238a8
1311220137b6a
1473b0b6c69a
153d931203d5
hex22f9d5c340

150220424000 has 112 divisors (see below), whose sum is σ = 373369423440. Its totient is φ = 59870361600.

The previous prime is 150220423981. The next prime is 150220424063. The reversal of 150220424000 is 424022051.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37909647616 + 112310776384 = 194704^2 + 335128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2182106 + ... + 2249894.

Almost surely, 2150220424000 is an apocalyptic number.

150220424000 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 150220424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186684711720).

150220424000 is an abundant number, since it is smaller than the sum of its proper divisors (223148999440).

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

150220424000 is an equidigital number, since it uses as much as digits as its factorization.

150220424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68093 (or 68073 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 150220424000 its reverse (424022051), we get a palindrome (150644446051).

The spelling of 150220424000 in words is "one hundred fifty billion, two hundred twenty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 277 320 400 500 554 800 1000 1108 1385 1600 2000 2216 2770 4000 4432 5540 6925 8000 8864 11080 13850 17728 22160 27700 34625 44320 55400 67789 69250 88640 110800 135578 138500 221600 271156 277000 338945 443200 542312 554000 677890 1084624 1108000 1355780 1694725 2169248 2216000 2711560 3389450 4338496 5423120 6778900 8473625 10846240 13557800 16947250 18777553 21692480 27115600 33894500 37555106 54231200 67789000 75110212 93887765 108462400 135578000 150220424 187775530 271156000 300440848 375551060 469438825 542312000 600881696 751102120 938877650 1201763392 1502204240 1877755300 2347194125 3004408480 3755510600 4694388250 6008816960 7511021200 9388776500 15022042400 18777553000 30044084800 37555106000 75110212000 150220424000