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152198280 = 2332513171913
BaseRepresentation
bin10010001001001…
…01110010001000
3101121101110210100
421010211302020
5302430321110
623034045400
73525443523
oct1104456210
9347343710
10152198280
1178a03903
1242b79860
13256bb670
14162dbbba
15d565bc0
hex9125c88

152198280 has 192 divisors, whose sum is σ = 564323760. Its totient is φ = 35241984.

The previous prime is 152198269. The next prime is 152198323. The reversal of 152198280 is 82891251.

It can be written as a sum of positive squares in 8 ways, for example, as 89756676 + 62441604 = 9474^2 + 7902^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 78604 + ... + 80516.

Almost surely, 2152198280 is an apocalyptic number.

152198280 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 152198280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282161880).

152198280 is an abundant number, since it is smaller than the sum of its proper divisors (412125480).

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

152198280 is a wasteful number, since it uses less digits than its factorization.

152198280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

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

The square root of 152198280 is about 12336.8667010712. The cubic root of 152198280 is about 533.9122862285.

The spelling of 152198280 in words is "one hundred fifty-two million, one hundred ninety-eight thousand, two hundred eighty".