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146220144 = 2437435179
BaseRepresentation
bin10001011011100…
…10010001110000
3101012010202022220
420231302101300
5244413021034
622302001040
73423564540
oct1055622160
9335122286
10146220144
11755a03a4
1240b76180
13243a75c5
14155c3320
15cc84749
hex8b72470

146220144 has 40 divisors (see below), whose sum is σ = 431698560. Its totient is φ = 41777088.

The previous prime is 146220097. The next prime is 146220199. The reversal of 146220144 is 441022641.

It is a happy number.

It is a super-2 number, since 2×1462201442 = 42760661022761472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217254 + ... + 217925.

It is an arithmetic number, because the mean of its divisors is an integer number (10792464).

Almost surely, 2146220144 is an apocalyptic number.

146220144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146220144 is an abundant number, since it is smaller than the sum of its proper divisors (285478416).

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

146220144 is a wasteful number, since it uses less digits than its factorization.

146220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435197 (or 435191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 146220144 is about 12092.1521657644. The cubic root of 146220144 is about 526.8282670972.

Adding to 146220144 its reverse (441022641), we get a palindrome (587242785).

The spelling of 146220144 in words is "one hundred forty-six million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 435179 870358 1305537 1740716 2611074 3046253 3481432 5222148 6092506 6962864 9138759 10444296 12185012 18277518 20888592 24370024 36555036 48740048 73110072 146220144