Search a number
-
+
152023200000 = 2835579049
BaseRepresentation
bin1000110110010101001…
…0011111000100000000
3112112101202110201111220
42031211102133010000
54442320414400000
6153501040435040
713661163610350
oct2154522370400
9475352421456
10152023200000
1159522151271
1225568318a80
131144978a619
147502368b60
153e4b5261a0
hex236549f100

152023200000 has 432 divisors, whose sum is σ = 578031753600. Its totient is φ = 34744320000.

The previous prime is 152023199987. The next prime is 152023200023. The reversal of 152023200000 is 2320251.

It is a super-2 number, since 2×1520232000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16795476 + ... + 16804524.

Almost surely, 2152023200000 is an apocalyptic number.

152023200000 is a gapful number since it is divisible by the number (10) 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 152023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289015876800).

152023200000 is an abundant number, since it is smaller than the sum of its proper divisors (426008553600).

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

152023200000 is an frugal number, since it uses more digits than its factorization.

152023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 152023200000 its reverse (2320251), we get a palindrome (152025520251).

The spelling of 152023200000 in words is "one hundred fifty-two billion, twenty-three million, two hundred thousand".