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152226432 = 2733172591
BaseRepresentation
bin10010001001011…
…00101010000000
3101121102220102000
421010230222000
5302432221212
623034424000
73525621561
oct1104545200
9347386360
10152226432
1178a22a76
1242b92000
13256cb417
1416308168
15d56e1dc
hex912ca80

152226432 has 128 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 47738880.

The previous prime is 152226421. The next prime is 152226463. The reversal of 152226432 is 234622251.

It is a happy number.

152226432 is a `hidden beast` number, since 1 + 5 + 2 + 226 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152226396 and 152226405.

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, 57457 + ... + 60047.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2152226432 is an apocalyptic number.

152226432 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 152226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

152226432 is an abundant number, since it is smaller than the sum of its proper divisors (323664768).

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

152226432 is a wasteful number, since it uses less digits than its factorization.

152226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2613 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 152226432 is about 12338.0076187365. The cubic root of 152226432 is about 533.9452033155.

Adding to 152226432 its reverse (234622251), we get a palindrome (386848683).

The spelling of 152226432 in words is "one hundred fifty-two million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 2591 3264 3456 3672 4896 5182 6528 7344 7773 9792 10364 14688 15546 19584 20728 23319 29376 31092 41456 44047 46638 58752 62184 69957 82912 88094 93276 124368 132141 139914 165824 176188 186552 248736 264282 279828 331648 352376 373104 396423 497472 528564 559656 704752 746208 792846 994944 1057128 1119312 1189269 1409504 1492416 1585692 2114256 2238624 2378538 2819008 2984832 3171384 4228512 4477248 4757076 5638016 6342768 8457024 8954496 9514152 12685536 16914048 19028304 25371072 38056608 50742144 76113216 152226432