Search a number
-
+
152034231400 = 23524317678399
BaseRepresentation
bin1000110110010111110…
…0100100010001101000
3112112102112020011202021
42031211330210101220
54442331230401100
6153502113114224
713661356434022
oct2154574442150
9475375204667
10152034231400
11595283a6327
122556bb58974
131144bb5078c
1475039db012
153e4c4a4a1a
hex2365f24468

152034231400 has 48 divisors (see below), whose sum is σ = 361700064000. Its totient is φ = 59399417280.

The previous prime is 152034231383. The next prime is 152034231403. The reversal of 152034231400 is 4132430251.

It is a super-2 number, since 2×1520342314002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (152034231403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8830600 + ... + 8847799.

It is an arithmetic number, because the mean of its divisors is an integer number (7535418000).

Almost surely, 2152034231400 is an apocalyptic number.

152034231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152034231400 is an abundant number, since it is smaller than the sum of its proper divisors (209665832600).

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

152034231400 is a wasteful number, since it uses less digits than its factorization.

152034231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17678458 (or 17678449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 152034231400 its reverse (4132430251), we get a palindrome (156166661651).

The spelling of 152034231400 in words is "one hundred fifty-two billion, thirty-four million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 17678399 35356798 70713596 88391995 141427192 176783990 353567980 441959975 707135960 760171157 883919950 1520342314 1767839900 3040684628 3535679800 3800855785 6081369256 7601711570 15203423140 19004278925 30406846280 38008557850 76017115700 152034231400