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153229032 = 23321131792
BaseRepresentation
bin10010010001000…
…01011011101000
3101200022211201100
421020201123220
5303211312112
623112121400
73540265605
oct1110413350
9350284640
10153229032
1179548270
1243396260
132598c888
14164c96ac
15d6bb2dc
hex92216e8

153229032 has 144 divisors (see below), whose sum is σ = 473316480. Its totient is φ = 44366400.

The previous prime is 153229031. The next prime is 153229033. The reversal of 153229032 is 230922351.

It is an interprime number because it is at equal distance from previous prime (153229031) and next prime (153229033).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 153228987 and 153229005.

It is not an unprimeable number, because it can be changed into a prime (153229031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1939569 + ... + 1939647.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 2153229032 is an apocalyptic number.

153229032 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 153229032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236658240).

153229032 is an abundant number, since it is smaller than the sum of its proper divisors (320087448).

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

153229032 is a wasteful number, since it uses less digits than its factorization.

153229032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 153229032 is about 12378.5714846262. The cubic root of 153229032 is about 535.1148697940.

The spelling of 153229032 in words is "one hundred fifty-three million, two hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 79 88 93 99 124 132 158 186 198 237 248 264 279 316 341 372 396 474 558 632 682 711 744 792 869 948 1023 1116 1364 1422 1738 1896 2046 2232 2449 2607 2728 2844 3069 3476 4092 4898 5214 5688 6138 6241 6952 7347 7821 8184 9796 10428 12276 12482 14694 15642 18723 19592 20856 22041 24552 24964 26939 29388 31284 37446 44082 49928 53878 56169 58776 62568 68651 74892 80817 88164 107756 112338 137302 149784 161634 176328 193471 205953 215512 224676 242451 274604 323268 386942 411906 449352 484902 549208 580413 617859 646536 773884 823812 969804 1160826 1235718 1547768 1647624 1741239 1939608 2128181 2321652 2471436 3482478 4256362 4643304 4942872 6384543 6964956 8512724 12769086 13929912 17025448 19153629 25538172 38307258 51076344 76614516 153229032