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146228736 = 293313783
BaseRepresentation
bin10001011011101…
…00011000000000
3101012011012010010
420231310120000
5244413304421
622302104520
73423631563
oct1055643000
9335135103
10146228736
11755a68a5
1240b7b140
13243ab4a4
14155c64da
15cc87076
hex8b74600

146228736 has 160 divisors (see below), whose sum is σ = 417973248. Its totient is φ = 45342720.

The previous prime is 146228723. The next prime is 146228737. The reversal of 146228736 is 637822641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 146228694 and 146228703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146228737) 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, 1761751 + ... + 1761833.

Almost surely, 2146228736 is an apocalyptic number.

146228736 is a gapful number since it is divisible by the number (16) 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 146228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208986624).

146228736 is an abundant number, since it is smaller than the sum of its proper divisors (271744512).

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

146228736 is an equidigital number, since it uses as much as digits as its factorization.

146228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 146228736 is about 12092.5074322905. The cubic root of 146228736 is about 526.8385858301.

The spelling of 146228736 in words is "one hundred forty-six million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 83 93 96 111 124 128 148 166 186 192 222 248 249 256 296 332 372 384 444 496 498 512 592 664 744 768 888 992 996 1147 1184 1328 1488 1536 1776 1984 1992 2294 2368 2573 2656 2976 3071 3441 3552 3968 3984 4588 4736 5146 5312 5952 6142 6882 7104 7719 7936 7968 9176 9213 9472 10292 10624 11904 12284 13764 14208 15438 15872 15936 18352 18426 18944 20584 21248 23808 24568 27528 28416 30876 31872 36704 36852 41168 42496 47616 49136 55056 56832 61752 63744 73408 73704 82336 95201 98272 110112 123504 127488 146816 147408 164672 190402 196544 220224 247008 285603 293632 294816 329344 380804 393088 440448 494016 571206 587264 589632 658688 761608 786176 880896 988032 1142412 1179264 1317376 1523216 1572352 1761792 1976064 2284824 2358528 3046432 3952128 4569648 4717056 6092864 9139296 12185728 18278592 24371456 36557184 48742912 73114368 146228736