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152200000000 = 2958761
BaseRepresentation
bin1000110110111111010…
…0111011001000000000
3112112212002011002112001
42031233310323020000
54443201200000000
6153530354113344
713665441440266
oct2155764731000
9475762132461
10152200000000
1159602a28774
12255b757b854
13114772b0ac9
14751ba2c436
153e5bceb46a
hex236fd3b200

152200000000 has 180 divisors, whose sum is σ = 380627734806. Its totient is φ = 60800000000.

The previous prime is 152199999967. The next prime is 152200000013. The reversal of 152200000000 is 2251.

It can be written as a sum of positive squares in 9 ways, for example, as 111705682176 + 40494317824 = 334224^2 + 201232^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199999620 + ... + 200000380.

Almost surely, 2152200000000 is an apocalyptic number.

152200000000 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 152200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190313867403).

152200000000 is an abundant number, since it is smaller than the sum of its proper divisors (228427734806).

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

152200000000 is an frugal number, since it uses more digits than its factorization.

152200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 152200000000 its reverse (2251), we get a palindrome (152200002251).

The spelling of 152200000000 in words is "one hundred fifty-two billion, two hundred million", and thus it is an aban number.