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152219808 = 253213109373
BaseRepresentation
bin10010001001010…
…11000010100000
3101121102120022200
421010223002200
5302432013213
623034333200
73525563346
oct1104530240
9347376280
10152219808
1178a18aa4
1242b8a200
13256c83c0
1416305996
15d56c273
hex912b0a0

152219808 has 144 divisors (see below), whose sum is σ = 471711240. Its totient is φ = 46282752.

The previous prime is 152219801. The next prime is 152219843. The reversal of 152219808 is 808912251.

152219808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 30603024 = 11028^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152219801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407910 + ... + 408282.

Almost surely, 2152219808 is an apocalyptic number.

152219808 is a gapful number since it is divisible by the number (18) 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 152219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235855620).

152219808 is an abundant number, since it is smaller than the sum of its proper divisors (319491432).

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

152219808 is a wasteful number, since it uses less digits than its factorization.

152219808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 152219808 is about 12337.7391770129. The cubic root of 152219808 is about 533.9374584837.

The spelling of 152219808 in words is "one hundred fifty-two million, two hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 109 117 144 156 208 218 234 288 312 327 373 416 436 468 624 654 746 872 936 981 1119 1248 1308 1417 1492 1744 1872 1962 2238 2616 2834 2984 3357 3488 3744 3924 4251 4476 4849 5232 5668 5968 6714 7848 8502 8952 9698 10464 11336 11936 12753 13428 14547 15696 17004 17904 19396 22672 25506 26856 29094 31392 34008 35808 38792 40657 43641 45344 51012 53712 58188 68016 77584 81314 87282 102024 107424 116376 121971 136032 155168 162628 174564 204048 232752 243942 325256 349128 365913 408096 465504 487884 528541 650512 698256 731826 975768 1057082 1301024 1396512 1463652 1585623 1951536 2114164 2927304 3171246 3903072 4228328 4756869 5854608 6342492 8456656 9513738 11709216 12684984 16913312 19027476 25369968 38054952 50739936 76109904 152219808