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151214232 = 233134111821
BaseRepresentation
bin10010000001101…
…01100010011000
3101112112110221010
421000311202120
5302202323412
623001013520
73514204551
oct1100654230
9345473833
10151214232
11783a1544
12427842a0
13254357a0
1416123328
15d41e33c
hex9035898

151214232 has 64 divisors (see below), whose sum is σ = 417080160. Its totient is φ = 45388800.

The previous prime is 151214221. The next prime is 151214233. The reversal of 151214232 is 232412151.

It is a junction number, because it is equal to n+sod(n) for n = 151214199 and 151214208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151214233) 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, 6882 + ... + 18702.

Almost surely, 2151214232 is an apocalyptic number.

151214232 is a gapful number since it is divisible by the number (12) 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 151214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208540080).

151214232 is an abundant number, since it is smaller than the sum of its proper divisors (265865928).

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

151214232 is a wasteful number, since it uses less digits than its factorization.

151214232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11880 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 151214232 is about 12296.9196142774. The cubic root of 151214232 is about 532.7591156663.

Adding to 151214232 its reverse (232412151), we get a palindrome (383626383).

The spelling of 151214232 in words is "one hundred fifty-one million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 11821 12792 23642 35463 47284 70926 94568 141852 153673 283704 307346 461019 484661 614692 922038 969322 1229384 1453983 1844076 1938644 2907966 3688152 3877288 5815932 6300593 11631864 12601186 18901779 25202372 37803558 50404744 75607116 151214232