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146797332 = 223112234987
BaseRepresentation
bin10001011111111…
…11001100010100
3101020020002002020
420233333030110
5300040003312
622322213140
73431520363
oct1057771424
9336202066
10146797332
1175955010
12411b41b0
132454a236
14156d37da
15cd4a78c
hex8bff314

146797332 has 48 divisors (see below), whose sum is σ = 375416832. Its totient is φ = 44275680.

The previous prime is 146797303. The next prime is 146797337. The reversal of 146797332 is 233797641.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146797337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26943 + ... + 31929.

It is an arithmetic number, because the mean of its divisors is an integer number (7821184).

Almost surely, 2146797332 is an apocalyptic number.

146797332 is a gapful number since it is divisible by the number (12) 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 146797332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708416).

146797332 is an abundant number, since it is smaller than the sum of its proper divisors (228619500).

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

146797332 is a wasteful number, since it uses less digits than its factorization.

146797332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5226 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 146797332 is about 12115.9948827985. The cubic root of 146797332 is about 527.5205559400.

The spelling of 146797332 in words is "one hundred forty-six million, seven hundred ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 4906 4987 7359 9812 9974 14718 14961 19948 29436 29922 54857 59844 109714 164571 219428 329142 658284 1112101 2224202 3336303 4448404 6672606 12233111 13345212 24466222 36699333 48932444 73398666 146797332